Question

4 select the correct answer. the graph shows the population of black toads in a forest reserve since their introduction. it also includes functions drawn by different researchers to estimate the change in population of the toads. which function best models the researchers data? black toad population y 16 14 12 10 8 d 6 b 4 a 2 0 0 2 4 6 8 10 years since introduction black toads (thousands) a. function a b. function b c. function c d. function d

Explanation:

Step1: Observe the data - points

The data - points represent the population of black toads at different times. We need to find the function that passes closest to these points.

Step2: Analyze each function

Function A is too low - it does not match the initial and final population values well. Function B is also off as it does not capture the overall trend and magnitude of the population. Function C has a shape that does not fit the data - points as well as Function D. Function D passes through or very close to most of the data - points, providing the best approximation of the population change over time.

Answer:

D. function D