Question

The following function describes the number of employees working at a company, in thousands, where t represents the number of years since the company revised the benefits package. f(t)=1.5(0.90)ᵗ Select the correct statement.

A). The number of employees is increasing by 90% every year.
B). The number of employees is decreasing by 90% every year.
C). The number of employees is decreasing by 10% every year.
D). The number of employees is increasing by 50% every year."

Answer 1

The number of employees is decreasing by 10% every year.

Step-by-step explanation:

The given function is f(t) = 1.5(0.90)t, where t represents the number of years since the company revised the benefits package.

The base of the exponential function, 0.90, is less than 1, which indicates decay or decrease over time. In this case, the number of employees is decreasing.

The base, 0.90, represents a decrease of 10% each year. So, the correct statement is C) The number of employees is decreasing by 10% every year.