Question

An initial population of 8 wolves increases by 9% each year. The function f(x) = abx models this situation. Which value does x represent in the function when determining the population after 6 years?

Answer 1

Answer: x represents time

Explanation:

f(x) = abˣ

• a represents the initial population
• b represents the rate (in decimal form)
• x represents time

f(x) = abˣ

• a = 8
• b = 9% = .09
• x = 6

f(6) = 8(1 + .09)⁶

= 8(1.677)

= 13.4

In 6 years, the population of the wolves will be 13