This exercise uses the population growth model. Some bullfrogs were introduced i

Question

This exercise uses the population growth model. Some bullfrogs were introduced into a small pond. The graph shows the bullfrog population for the next few years. Assume that the population grows exponentially. 700 600 Frog 500 population 400 3002,225) 100 1 2 34 5 6 (a) What was the initial bullfrog population? 100 bullfrogs (b) Find a function that models the bullfrog population t years since the bullfrogs were put into the pond. (Round your r value to four decimal places.) n(t) = (c) What is the projected bullfrog population after 13 years? x bullfrogs Enter a number (d) Estimate how long it takes the population to reach 24,000. (Round your answer to the nearest whole number.) x years after introduction Need Help? Read It Submit Answer Save Progress

Explanation / Answer

Points are (0,100),(2,225)

y=a bx

225=100(b)2

2.25=b2

b=1.5

n(t)=100(1.5)t

Initial is 100

c.n(13)=100(1.5)13

n(13)=19461.9507

d.24000=100(1.5)t

240=1.5t

t=14years

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