Question

The following function describes the number of employees working at a company, in thousands, where t represents the number of years sincethe company revised the benefits package.f(t) = 1.5(0.90)*Select the correct statement.OA. The number of employees is decreasing by 10% every year.OB. The number of employees is increasing by 50% every year.OC. The number of employees is increasing by 90% every year.OD. The number of employees is decreasing by 90% every year.

Answer 1

The equation is given below as

`f(t)=1.5(0.90)^t`

The function above represents an exponential function.

The general function of an exponential function is given below as

`\begin{gathered} y=ab^x \\ b>1(growth),b=1+r \\ b<1(decay),b=1-r \\ \end{gathered}`

By comparing coefficients, we will have

`\begin{gathered} 0.90<1(decrease\text{ over the years t\rparen} \\ 1-r=0.90 \\ r=1-0.90 \\ r=0.10 \\ r=0.10*100 \\ r=10\% \end{gathered}`

Hence,

The final answer is

The number of employees is decreasing by 10% every year