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…

Question

asked Jan 8, 2018 175k views

2 Answers

Omid Shariati · Answer 1 · 2018-01-13T04:11:27+0000

Answer:

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