Question

The table shows the estimated number of deer living in a forest over a five-year period. Which type of function best models the data? Write an equation to model the data.

Year Estimated Population
0 100
1 79
2 62
3 49
4 39

A. linear; y = 0.79x + 100
B. quadratic; y = 100x2 + 0.79
C. exponential; y = 100 * 0.79x
D. quadratic; y = 0.79x2 + 100

Answer 1

An exponential function best models the data.
100 = 100 * 0.79^0 = 100 * 1
79 = 100 * 0.79^1 = 100 * 0.79
62 = 100 * 0.79^2
49 = 100 * 0.79^3
39 = 100 * 0.79^4
Answer:
C ) exponential : y = 100 * 0.79^x