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

Verified Answer :

Answer:

Company B and Company D shows exponential decay in sale

Step-by-step 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

Answer:

B and D i just took test

Step-by-step explanation: