Question

The table below shows the functions to represent the sale f(t), in thousands, of four companies in t years:

Company A B C D
Sale f(t) = 1.05t f(t) = 0.75t f(t) = 1.212t f(t) = 0.9712t

Which of the following companies showed an exponential decay in sale? (1 point)



Company A and Company C

Company B and Company D

Company C and Company D

Company A and Company B

Answer 1

B and D i just took test

Explanation:

Answer 2

Company B and Company D shows exponential decay in sale

Explanation:

Company A B C D

Sale
`f(t) = 1.05^t \ \ \ f(t) = 0.75^t \ \ \ f(t) = 1.212^t \ \ \ f(t) = 0.9712^t`

General form of exponential function is given by

`y=ab^x`

Where 'a' represents the initial value

b represents the exponential growth or decay

If b > 1 then it is an exponential growth

If 0<b<1 then it is an exponential decay

`f(t) = 1.05^t`

b values is 1.05 that is greater than 1 so it is exponential growth

`f(t) = 0.75^t`

b values is 0.75 that is less than 1 so it is exponential decay

`f(t) = 1.212^t`

b values is 1.212 that is greater than 1 so it is exponential growth

`f(t) = 0.9712^t`

b values is 0.9712 that is less than 1 so it is exponential decay

Company B and Company D shows exponential decay in sale