Mathematics, 17.03.2020 17:17 xXFLUFFYXx

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

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Answer from: stranger123

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

y=a(1+r)^x

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

a=10 ---> value of y when the value of x is equal to zero

substitute

y=10(1+r)^x

we have the point (2,22.5)

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

22.5=10(1+r)^2

solve for r

2.25=(1+r)^2

square root both sides

$1+r=1.5\\r=1.5-1\\r=0.5$

therefore

The growth rate of red curve is 0.50 or 50%

step 2

Find the equation of the blue curve

we have

a=10 ---> value of y when the value of x is equal to zero

substitute

y=10(1+r)^x

we have the point (7,19.4)

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

19.4=10(1+r)^7

solve for r

1.94=(1+r)^7

elevated both side to 1/7

$1+r=\sqrt[7]{1.94}$

$r=1.10-1\\r=0.10$

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

$50-10=40\%$

Therefore

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

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

Answer from: kev485

Step-by-step explanation:

The approximate difference in the growth rate is 40 percent.

Answer from: Quest

none.

step-by-step explanation:

m1=5

−

b=-1

find the slope and y-intercept of the second equation.

tap for more

m2=0

−

b=-6

compare the slopes

m of the two equations.

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m1=5,m2=0

Answer from: Quest

Ithink the versus years?

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