𝑃(𝑡) = 60𝑡+80 .05𝑡+1

Question

80,000 fish are released into a lake. After t years, the population P(t) of fish (in thousands) is given by 𝑃(𝑡) = 60𝑡+80 .05𝑡+1

a. After how many years will the population of fish be 1100 thousand?

b. How many fish will there be after 12 years?

c. Find the horizontal asymptote.

Interpret the horizontal Asymptote

Answer 1

a. After how many years will the population of fish be 1100 thousand?

6 years

b. How many fish will there be after 12 years?

114,000

c. Find the horizontal asymptote.

y=120K

Interpret the horizontal Asymptote

After about 78 years the quantity of fish almost levels out at 119+K