Mathematics Middle School

Below is a graph of p, an insect population, w weeks after it was first measured. The population grows exponentially.

Write an approximate domain and range for this situation.
Write an equation relating p and w.

Below Is A Graph Of P, An Insect Population, W Weeks After It Was First Measured. The Population Grows

Answers

Answer 1

The range and the domain of the graph are the sets of non-negative real numbers, while the equation relating p and w is [tex]p = 300 * 3^w[/tex]

From the graph, we have the following ordered pairs

(1,900) and (3,8100)

An exponential function is represented as:

[tex]p = ab^w[/tex]

At the point (1,900), we have:

ab = 900

At the point (3,8100), we have:

ab^3 = 8100

Divide both equations

[tex]\frac{ab^3}{ab} = \frac{8100}{900}[/tex]

Evaluate the quotients

[tex]b^2 = 9[/tex]

Take the square roots of both sides

b = 3

Recall that:

ab = 900

So, we have:

3a = 900

Solve for a

a= 300

Hence, the equation is:

[tex]p = 300 * 3^w[/tex]

Read more about exponential equations at:

https://brainly.com/question/11464095

Related Questions

What is the cost of 2.6 pounds of cheese at $6.75 per pound
WORTH A LOT OF POINTS BRAINLIEST IF CORRECT

Answers

Answer:

$17.55

Step-by-step explanation:

simply multiply the price by the amount of the product so: 2.6*6.75= 17.55

We can write the information given mathematically:
1 pound of cheese = $6.75

We need to find the price of 2.6 pounds of cheese and we can do this by multiplying both sides of the equation above by 2.6:

1 pound of cheese = $6.75
1 x 2.6 pounds of cheese = $6.75 x 2.6

2.6 pounds of cheese is $17.55

Hope this helps!

the number of tigers increased from 25 to 40 over a short period of time. What is the percentage increase in the number of lions? Round your answer to the nearest tenth of a percent. *

Answers

75 percent increase
explanation: 40-25=15
then 15/original amount=.75 or 75 percent
Check: .75x25+25=40
60% increase

40-25=15

15 of 25 is 60% (you can check this too because 25x.6 is 15)

how can you use properties of operations to evaluate expressions?

Answers

[tex] \huge \underline { \bf {Answer :-}}[/tex]

When evaluating an expression, proceed in this order:

parentheses are done first.exponents are done next.multiplication and division are done as they are encountered from left to right.Addition and subtraction are done as they are encountered from left to right.

♡hope it helps~

parentheses, thank you do exponents following with multiplication and division from left to right

don't add links please.

Answers

Answer:

It’s A

Step-by-step explanation:

The question is below.

Answers

The ratios are 4:2:3:3 = 1 : 1/2 : 3/4 : 3/4
The ratios are 4:2:3:3 =1

I'm kinda braindead rn
would appreciate the help

Answers

774000000 or 7.74 x 10^8

Answer:

the first one = 7. 74 x 10 ^8  the second one = 2. 25 x 10^3

Step-by-step explanation:

from a calculator

With her new trainer, Judy now bikes at an average speed of 24.1 MPH. That is 20.5% faster than she averaged with her old trainer. How fast did she bike, on average, before training with the her new trainer?

Answers

Answer: an average of 13.5 mph is very respectable

Step-by-step explanation:

.....HELLPPP????MEEEEEEE

Answers

Answer: NOT A

Step-by-step explanation:

did u already answer this question or still need help with it?

Show your work

1. A cylindrical jar has a radius of 5 inches and a height of 9 inches. The jar is filled with marbles that have a volume of 20 in3. Use 3.14 for pi. Show work. Complete sentences.
a. What is the volume of the jar?

b. How many whole marbles can fit in the jar?

Answers

You would add all of your numbers up and divide by that answer and the number of your numbers and then that would be your answer

PLS help i need this done now!

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

D. Complete the diagram to find the cost per class in the 8-class block.What is the cost per class

Answers

Answer:

what is the diagram

Step-by-step explanation:

Hellppp meeeeeee PLEASEEEEE :(

Answers

Answer: 29.5 inches tall.

Step-by-step explanation:

If Eva was 1.5 inches taller than her original height, she would be half of Maria’s height. So, we divide Maria’s height by two to find the height Eva would be if she was 1.5 inches taller.

62 / 2 = 31 inches

Next, to find Eva’s real height, we subtract 1.5 inches from the 31 inches. This is because Eva would only be half Maria’s height IF she was 1.5 inches taller, but she is not, so therefore we can deduct it.

31 - 1.5 = 29.5 inches

Therefore, Eva’s height is 29.5 inches tall. We can prove this, as well.

29.5 + 1.5 = 31 inches

31 * 2 = 62 inches

Therefore, Eva is 29.5 inches tall.

Sorry I don’t know.

Can some1 pls help me with this:

Answers

Answer:

your answer is none of these

Step-by-step explanation:

refer the attachment

gamsahamnida

Which of the following fractions represent 87.5%

d) None of this

6.5 x 3.1
AND pls show how you got it

Answers

multiplied as numbers without commas. Then move the comma as many times as you have after it
6.5*3.1=2015
We have to nr.after commas
So 20,15

Answer:

20.15

Step-by-step explanation:

( Eliminate the decimal point temporarily)

65

x 31

-----

65

1950  ...... (add the zero)

------

= 2015  ( add the decimal point back between the 2 and the 0)

-----------

= 20.15

Find the sum.

−10+(−34)

Answers

Answer:

= -4

Step-by-step explanation:

brainliest pls pls pls

the product of a number and three increased by four is the same as fourteen less than the product of twelve and a number

50 points, PLS ANSWER ASAP

Answers

Answer:

Let the number be x.

[tex]3*x+4=12*x-14[/tex]

[tex]3x+4=12x-14[/tex]

Subtract 4 from both sides:

[tex]3x+4-4=12x-14-4[/tex]

[tex]3x=12x-18[/tex]

Subtract 12x from both sides:

[tex]3x-12x=12x-18-12x[/tex]

[tex]-9x=-18[/tex]

Divide both sides by -9:

[tex]\frac{-9x}{-9} =\frac{-18}{-9}[/tex]

[tex]x=2[/tex]

The number is 2.

The Number is 2

What is Number?

A Number is an arithmetic value used for representing the quantity and used in making calculations.

Given that the product of a number and 3 is equal to the 14 less than product of twelve and that number.

Let the number be x

3x + 4 = 12x - 14

12x - 3x = 14 + 4

9x = 18

x = 2

Hence, the required number is 2.

For references on numbers, click;

https://brainly.com/question/17429689

#SPJ2

Which two expressions represent the perimeter of this rectangle?
(Choose 2)

Answers

it's a blank screen. try retaking the picture and asking the question again.
I can not see the picture try retakaking it with a phone rather than a screen shot ?

PLZ HELP ME ANSWER THESE TWO QUESTIONS

Answers

Answer:

2. 18,000/90/20  

3. 54,000/90/60

Step-by-step explanation:

When you divide those you get 10 which can also be a factor.

Please help me my homework is due in 30 mins and I'm stuck on the last question. In this question, I'm working with a recipe where I have to make a recipe for 12 a recipe for 30. "Notice that the original recipe calls for [tex]\frac{1}{4}[/tex] cup of water. If you put [tex]\frac{3}{8}[/tex] cup of water, by how much have you multiplied the original recipe? How many people will your new recipe serve?".

Answers

Answer:

2.5 times, 30 people

Step-by-step explanation:

The recipe will be multiplied 2.5 times (3/8 ÷ 1/4). Therefore, it will serve 30 people (12 * 2.5)

Answer:

30

Step-by-step explanation:

HELLPPP meeeeeee e PLEASEEEEE E

Answers

Answer:

306.75

Step-by-step explanation:

Just subtract 372 from 65 1/4

Answer:

306.75

Step-by-step explanation:

In the newest animated movie, for every 9 children, there are 4 adults. There are a total of 39 children and adults at the movie.
How many children are at the movie?

Answers

Answer:

39 &hhg viki usd chez very

Answer:

The answer is 27

Step-by-step explanation:

You would add 9 3 times and get 27 then add the 3 groups of adults of 4 and you will get 12

add 12 + 27 = 39

Please Help :(
Look at the imagine pleaseeeeeeeeeeeeeeeeee

This graph shows the weights of some rocks in Jonathan's rock collection.
Weights of rocks
How much heavier is the heaviest rock than the lightest rock?
Write your answer as a proper fraction, mixed number, or whole number.

Answers

Answer:

5/8oz.

Step-by-step explanation:

7/8-2/8=5/8

=5/8oz.

Hope this helps :)

Can someone please help me. I will give brainliest

Answers

Answer:

A

Step-by-step explanation:

Question One : 6.4 x 1.2

Question Two : 3.5 x 4.9

Question Three: 8.4 x 5.2

pls SOLVE and EXPLAIN how you got it
And pls don't put files in here

Answers

7.68 for the first one then 17.15 and 43:68

What is the slope of a line that contains the points, (2x, y) and (x, 37)

Answers

Answer:

I think it's 1/2 but I haven't done a problem like this in awhile so I'm not sure

Use the formula (y2-y1)/(x2-x1) to get the answer, which would be y-37/x in this case

pls pls i timed pls help help me out

Answers

Answer: the answer is c or 22 79/100

Step-by-step explanation:

Answer:

22 79/100

Step-by-step explanation:

The library has 3,121 magazines. Each bin holds 73 magazines. How many magazines will be in the partially filled bin?

Answers

Answer:

55

Step-by-step explanation:

3121/73=42 R55

Answer: 55 magazines will be in the partially filled bin.

Step-by-step explanation:

3,121 / 73 = 42.75, or 42 whole bins.

42 * 73 = 3,066

3,121 - 3,066 = 55

Which of the following best describes the equation below?

y = 3x^3-11
A.
neither linear nor nonlinear
B.
linear
C.
nonlinear
D.
both linear and nonlinear

Answers

The answer is C.

First; meaning of Linear.
Able to be represented by a straight line on a graph.

I have attached a picture to show how the equation is represented on a graph. I hope this helps!! Much love and good luck <33 :)
The answer to your question is B, linear!

help help help help pls p

Answers

Answer:

10/12 simplified 5/6

Answer:

A) [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

So solve, change the sign into multiplication and use the reciprocal of the second number.

To find the reciprocal,  flip the numerator and the denominator.

The reciprocal of 4/5 is 5/4.

So you have [tex]\frac{2}{3}[/tex]×[tex]\frac{5}{4}[/tex]

Multiply like a normal expression.

You get 10/12, which can be simplified to [tex]\frac{5}{6}[/tex]

Donna sells beaded necklaces. Each large necklace sells for $5.20 and each small necklace sells for $4.90. How much will she earn from selling 3 large necklaces and 4 small necklaces?

Answers

Answer:

$32.6

Step-by-step explanation:

$5.20 x 3 = $15.6

$4.90 x 4 = $19.6

$19.6 + $15.6 = $35.2

Answer:

$32.6

Step-by-step explanation:

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