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(.90)^t Select the correct statement.
A. The number of employees is increasing by 50% every year.
B. The number of employees is decreasing by 10% every year.
C. The number of employees is decreasing by 90% every year.
D. The number of employees is increasing by 90% every year.

Try out each of the situations. It can't be A, since the 0.9 is less than 1, so it has to be decreasing. This leaves only B and C. Since decreasing by 90 percent is the same as multiplying by 10 percent, the only possible answer left is B.

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lisboa lisboa · Answer 2 · 2019-07-24T14:34:42+02:00

Answer:

the number of employees is decreasing by 10% every year

Step-by-step explanation:

[tex]f(t)=1.5(.90)^t[/tex]

In the given function 1.5 represents the initial number of employees

Exponential function in the form of [tex]f(x) = a(b)^x[/tex]

When the value of b is less than 1 then it is exponential decay

When the value of b is greater than 1 then it is exponential growth

Exponential decay factor is 0.90

[tex]1-0.90= 0.10[/tex]

0.10 times 100 = 10%

So the number of employees is decreasing by 10% every year