Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would the constant of proportionality be?
1. How loud a sound is depending on how far away you are
5 85
10 79
20 73
40 67

b. The fountain drinks at hot dog hut.
16 1.49$
20 1.59$
30 1.89$

Note: All of these are tables which you have to find out the constant of proportinolity.
Extra points for good answers!

Answers

Answer 1
Table B represent a proportional relationship,where the constant of proportionality is 0.025
Step-by-step explanation:
Table B has a proportionality relationship.Treat the values in table as (x,y) values to be plotted on a graph tool.The result is a linear function with a positive slope of 0.030.The constant of proportionality is 0.030.Given;
Volume cost($)
16 1.49
20 1.59
30 1.89
Then you have ordered pairs of points as (16,1.49) ,(20,1.59), (30,1.89) .Using a graph tool, the results is a linear graph. Find the slope of the graph as;
m=Δy/Δx
For points (16,1.49) ,(20,1.59)
m=1.59-1.49/20-16
m=0.10/4 = 0.025
You notice that the expression for the relationship is;
cost($)= 0.025* Volume +1.09
y=0.025x+ 1.09 where the y-intercept is obtained by extrapolation of the line.

Related Questions

#30 Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1,030 was

collected. Let x represent the number of tickets sold at the door.

In terms of x. how many tickets were sold in advance?

Answers

Answer:

170 tickets were sold in advance

Step-by-step explanation:

Let x represent the = number of tickets sold at the door.

Let y represent the = number of tickets sold in advance

Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1,030 was

collected.

Hence, we have two equations

x + y = 400 tickets

$3 × x + $2 × y = $1,030

x + y = 400.... Equation 1

x = 400 - y

3x + 2y = 1030........ Equation 2

Substitute 400 - y for x in Equation 2

3(400 - y) + 2y = 1030

1200 - 3y + 2y = 1030

Collect like terms

-y = 1030 -1200

-y = -170

y = 170

Since y represent the number of tickets sold in advance, therefore, 170 tickets were sold in advance.

the quotient of 5 times a number and 7 is equal to 10 what is the number

Answers

D.15 because 15 divided by 5 is 3 and 3+7 is equal to 10. Hope that helped

Daniel buys a swing set priced at $788. If the sales tax is 7%, how much tax will Daniel pay? Submit​

Answers

Answer:

he will pay 55.16


Can someone please help me asappp I’ll mark brainlist !!!

Answers

Answer:

D. y = 76x

Step-by-step explanation:

First you find the gradient, by using the gradient formula

rise over run

380 - 228

---------------- <- division sign

   5 - 3

152/2 = 76

Hence y = 76x + c

Find c by subbing points in. I am going to use this as an example (5, 380)

380 = 76(5) + c

380 -380 = c

c = 0

Hence,  y = 76x

Please help me out with this!

Answers

X = 7/5 is the answer to your question

0.00581 in scientific notation

Answers

Answer:

5.8 × 10-3

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 10 people took the trip. She was able to purchase coach tickets for $230 and first class tickets for $1290. She used her total budget for airfare for the trip, which was $7600. How many first class tickets did she buy? How many coach tickets did she buy?

Answers

You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:

330x + 1220y = 12730 (cost of coach tickets plus cost of first class tickets is total budget)

x + y = 17 (number of coach tickets plus number of first class tickets is total number of people)

Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:

330x + 1220(17 - x) = 12730

330x + 20740 - 1220x = 12730

-890x + 20740 = 12730

-890x = -8010

x = 9

Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:

9 + y = 17

y = 8

Sarah bought y = 8 first class tickets.

What is the value of x in the equation 3x – one-ninthy = 18, when y = 27?

5
7
45
63

Answers

Answer:

the answer is 7 hope this helps

Answer:7

Step-by-step explanation:

Write each rational exponent as a radical.
X1/6

Answers

Answer:

i pooped myself

Step-by-step explanation:

please help

Evaluate the expression: (16 ÷ 4)3 – 6 The solution is _____.

Answers

Answer:

The answer is 6

Step-by-step explanation:

To solve this expression you use PEMDAS

16÷4=4

4×3=12

12-6=6

Answer:

(16/4)3 - 6 = ?

=> (16 * 3/ 4 * 3) - 6 = ?

=> (48 / 12) - 6 = ?

=> 4 - 6 = ?

=> -2 = ?

Therefore, (16/4)3 - 6 = -2

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Filo earns $8 per hour, but he buys lunch for $5. How much money does he have left after he works x number of hours a day? Write an equation to model the problem. If Filo works for 6 hours, how much money will he take home that day? Show all work.

Answers

Answer:

8x-5

Step-by-step explanation:

8$ per hour and he works 6 hours gives you 48$. Since he buys lunch, take away 5 from 48 and youll get 43$. Filo will take 43$ home.

consider the equation 8x+4y=64
where does the graphs intersect the x-axis ?
provide the coordinate point below ( , )

Answers

I believe the graph intersects at (8,0).
I don’t remember how to do this but I think it would be (8,0) but correct if I’m wrong

What number of grams is in 17 kilograms

Answers

Answer: 17000

Step-by-step explanation: Multiply the mass value by 1000

The prediction equation y = 5.92x + 119.21 models the median selling price, in thousands of dollars, of new homes in a certain area since 1995. Predict the median selling price in 2015.(Do not separate the numbers

Answers

Answer:

$237.61

Step-by-step explanation:

given that the function to predict the price is

y = 5.92x + 119.21

x= the number of year,

given that we are predicting from 1995-2015

the difference is 20years

So put x=20 in the expression we have

y = 5.92(20) + 119.21

y=118.4+119.21

y=237.61

the median price is $237.61

. Maggie is participating in her school reading challenge. She reads 40 books, 26 of which are fiction. What percent of the books that she read are fiction?


ASAP!!!

Answers

Answer:

65%

Step-by-step explanation:

26/40 x 100= 65%

hope this helps!

Mrs. Smith earns $3500 a month. She saves $280 a month. Savings is what percent
of her income?

Answers

Answer:

6 to 8 percent

Step-by-step explanation:

What it the solution to this equation?
2x+3=x-4

Answers

Answer:

x = -7

Step-by-step explanation:

Solve for x:

2 x + 3 = x - 4

Hint: | Move terms with x to the left-hand side.

Subtract x from both sides:

(2 x - x) + 3 = (x - x) - 4

Hint: | Combine like terms in 2 x - x.

2 x - x = x:

x + 3 = (x - x) - 4

Hint: | Look for the difference of two identical terms.

x - x = 0:

x + 3 = -4

Hint: | Isolate terms with x to the left hand side.

Subtract 3 from both sides:

x + (3 - 3) = -3 - 4

Hint: | Look for the difference of two identical terms.

3 - 3 = 0:

x = -3 - 4

Hint: | Evaluate -3 - 4.

-3 - 4 = -7:

Answer: x = -7

Serena's book collection contains 23 fiction books and 4 non-fiction books part to part or part to whole ratio

Answers

Step-by-step explanation:

that's a part to part ratio

Math minute I need help with all questions I hav 4 minutes

Answers

Answer:

can you he lp me

Step-by-step explanation:

Answer:

1. 0.019

2. 4-28

3. 4

4. 6:00

5. 6

6. 16

7. 7

8. >

9. <

10. >

EXTRA POINTS* how do you graph a fraction? for example slope= 1/2, y-intercept: -2 how do you graph this

Answers

Answer:

Because of the y intercept, you would first plot a point at (0,2). This means that you would put the point when x does not from the origin (middle of the lines) and 2 points up from it. After, for every 2 points going to the right, you go only 1 up on y. This is because the slope is 1/2. I recommend you watch Khan Academy.

Step-by-step explanation:

On a map, 1 inch equals 6 miles. Two cities are 7.5 inches apart on
the map. What is the actual distance between the cities?
I really need help

Answers

To find that you would multiply 7.5 times 6. This would be 45. The cities are 45 miles away from each other

Explicit formula -6,-10,-14

Answers

Answer:

Tn = -6 + (n - 1)(-4)

Step-by-step explanation:

The explicit formula is this: Tn = a + (n - 1)*(d), where 'a' is the first term and 'd' is the common difference.

The first term is given to you and that is -6.

The common difference is -4 because:

d = -10 - (-6)

d = -10 + 6

d = -4

Hence: Tn = -6 + (n - 1)(-4)

Given the equations are x=6 and y=-8 parallel perpendicular or neither

Answers

These are perpendicular, because they meet at a right angle when graphed.

Hope this helps!

You can eat no more than 40 slices of pizza each week. If you have
pizza every day, what is the maximum number of slices (s) you can
eat each day? Round your answer to the nearest tenths place.
i have to create a linear equation and solve it

Answers

Answer: 5.7 slices

Step-by-step explanation:

7x=40. x represents number of slices per day, 7 is because you eat pizza every day and there's 7 days in a week.

Divide both sides by 7:

7x/7 = 40/7

x= 5.7

Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x+6)^2 - 49
lesser x=
greater x =

Answers

Answer:

Lesser x is -13.

Greater x is 1.

Step-by-step explanation:

We have the function:

[tex]f(x)=(x+6)^2-49[/tex]

And we want to find the zeros of the function.

So, set f(x) to 0 and solve for x:

[tex](x+6)^2-49=0[/tex]

Add 49 to both sides:

[tex](x+6)^2=49[/tex]

Take the square root of both sides. Since we're taking an even root, we will need plus/minus:

[tex]x+6=\pm 7[/tex]

Subtract 6 from both sides:

[tex]x=\pm7-6[/tex]

Evaluate for each case:

Case 1; 7 is positive:

[tex]x=7-6=1[/tex]

Case 2; 7 is negative:

[tex]x=-7-6=-13[/tex]

So, our zeros are:

[tex]\{x|-13, 1\}[/tex]

Our lesser x is -13, and our greater x is 1.

And we're done!

One week, Brooklyn earned $179.30 at her job when she worked for 11 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $244.50?

Answers

Answer:

15 hours

Step-by-step explanation:

By dividing $179.30 by the 11 hours she worked, we know that she makes $16.30 per hour. By using that same wage, we can take her goal earnings of $244.50 and divide it by her wage.

$244.50/$16.30 = 15 hours.

Hope this helps!

Answer:

15 hours

Step-by-step explanation:

By dividing $179.30 by the 11 hours she worked, we know that she makes $16.30 per hour. By using that same wage, we can take her goal earnings of $244.50 and divide it by her wage.

$244.50/$16.30 = 15 hours.

Hope this helps!

please help with this, i don’t understand it.

Answers

Answer:

Im pretty sure its 50

Step-by-step explanation:

A line is 180° so you add

65 + 65 = 130

Then subtract 180

180 - 130 = 50

Hope that helps

Answer:

50

Step-by-step explanation:

The total degrees is 180 so

use the equation 65+65+x=180

simplify

130+x=180

minus 130 on both sides

x=50

Amelie is shopping for children's books and puzzle books. She wants to purchase at least 2 more children's books than puzzle books, but she can afford no more than 15 items total. If x represents the number of childrens books and y represents the number of puzzle books Amelie purchases, which point lies in the solution set?​

Answers

x = 9
y = 6

Step by step:

Divide 15 by 2: 15 ÷ 2 = 7.5
Subtract 0.5 from 7.5 (this will later be added back): 7.5 - 0.5 = 7
Subtract 1 from 7 (she wants to buy at least 2 more children books): 7 - 1 = 6
Subtract 6 from 15 (6 being the number of puzzle books, 15 being the total number of items): 15 - 6 = 9 (number of children books)

According to the rules of significant figures, what is the correct answer to 3.4 x 5
A. 20
B. 17
C. 10

Answers

Your answer will be 17 hope this helps :)

Mary is saving money for college expenses. She saves the same amount each month. She saves the same amount each month. The table shows the amount of money Mary has saved after 4 and 7 months. Which statements about the this situation are true and support the relationship as being proportional? Select all that apply.

Answers

Answer:

A, C, D

Step-by-step explanation:

See attached for answer options

As per the table, the points are:

(4, 80) and (7, 140)

This is linear function and the formula is:

y = mx + bm = (140-80)/(7-4) = 2080 = 20*4 + bb = 0

So the function is

y = 20x

The correct answer options attached

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