This exercise uses the population growth model Some bullfrog

This exercise uses the population growth model. Some bullfrogs were introduced into a small pond. The graph shows the bullfrogs population for the next few years. Assume that the population grows exponentially. (a) What was the initial bullfrogs population? bullfrogs (b) Find a function that models the bullfrogs population t years since the bullfrogs were put into the pond. h(r) = (c) What is the projected bullfrogs population after 10 years? bullfrogs (d) Estimate how long it takes the population to reach 27,000. years after introduction This exercise uses the radioactive decay model.

Solution

Initial bullfrog population is 100

b.exponential function is of the form y=a b^x

and point is (2,225)

225=100b²

b=1.5

h(t)=100(1.5)^t

c. h(10)=100 1.5¹⁰=5766.5