Question

The total salamander population on the island is represented by the expression 3,000 (1.035) t, where t is the time in years. what is the equivalent exponential expression rewritten to identify the weekly growth rate of the population?

A.) 3000(1.035⁵²)t
B.) 3000(1.035) t/⁵²
C.) 3000(1.035 ¹/⁵²)t
D.) 3000(1.035 ¹/⁵²)⁵²t​

Answer 1

The correct answer is:

C.) 3000(1.035^(1/52))^t

This expression represents the equivalent exponential expression that identifies the weekly growth rate of the population. The exponent 1/52 represents the conversion from years to weeks, as there are 52 weeks in a year.

Explanation: