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sweet [91]
3 years ago
5

The following function describes the number of employees working at a company, In thousands, where trepresents the number of yea

rs since the company revised the benefits package.
f(t) = 1.5(0.90)^t
Mathematics
1 answer:
NISA [10]3 years ago
5 0

Consider the missing part of the question is "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."

Given:

The function is:

f(t)=1.5(0.90)^t

Where, f(t) is the number of employees working at a company, in thousands and t is the number of years since the company revised the benefits package.

To find:

The correct statement from the given options.

Solution:

The general exponential decay model is:

f(t)=a(1-r)^t         ...(i)

Where, a is the initial value, r is the rate of decay and t is the number of years.

We have,

f(t)=1.5(0.90)^t

It can be written as

f(t)=1.5(1-0.10)^t        ...(ii)

From (i) and (ii), we get

a=1.5,r=0.10

The initial value is 1.5 and the rate of decay is 0.10 or 10%. It means the number of employees is decreasing by 10% every year.

Therefore, the correct option is B.

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