What is the approximate difference in the growth rate of the two populations?

The approximate difference in the growth rate of the two populations is 40%.

Step-by-step explanation:

The complete question is

The graph shows the population of deer for the past 5 years. what is the approximate difference in the growth rate of the two populations?

The picture of the question in the attached figure

we know that

The equation of a exponential growth function is given by

where

y is the population

x is the number of years

a is the initial value

r is the growth rate

step 1

Find the equation of the red curve

we have

---> value of y when the value of x is equal to zero

substitute

we have the point (2,22.5)

substitute the value of x and the value of y in the equation

solve for r

square root both sides

therefore

The growth rate of red curve is 0.50 or 50%

step 2

Find the equation of the blue curve

we have

---> value of y when the value of x is equal to zero

substitute

we have the point (7,19.4)

substitute the value of x and the value of y in the equation

solve for r

elevated both side to 1/7

therefore

The growth rate of red curve is 0.10 or 10%

step 3

Find the approximate difference in the growth rate of the two populations

Subtract the two growth rate

Therefore

The approximate difference in the growth rate of the two populations is 40%.

B

Step-by-step explanation:

The approximate difference in the growth rate is 40 percent.

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