Question

Jericho is a botanist researching a plant species. The number of plants in his testing environment increases by 60% each year. Given the function f(t) = 30(1.60)ᵗ, which statement is true?

A. f(t) = 30t
B. f(t) represents exponential decay
C. f(t) will eventually reach zero
D. f(t) represents exponential growth

Answer 1

The given function f(t) = 30(1.60)^t represents exponential growth as the number of plants increases by 60% each year.

Step-by-step explanation:

The given function f(t) = 30(1.60)t represents exponential growth.

In this function, t represents the time in years, and 1.60 represents the percentage increase per year (60%).

The function f(t) calculates the number of plants in Jericho's testing environment after t years, starting with an initial count of 30 plants. The exponential growth occurs because the number of plants increases by 60% each year, resulting in a larger count over time.