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) = 1.2^12t f(t) = 0.97^12t Which of the following companies showed an exponential decay in sale? Company A and Company C Company B and Company D Company C and Company D Company A and Company B

Answer 1

Answer: idl

Explanation:

Answer 2

Correct Answer: Company B and D

The exponential function decays if the base of the function is less than 1.

The given functions are:

Company A:
`f(t) = 1.05^(t)`
Company B:
`f(t) = 0.75^(t)`
Company C:
`f(t) = 1.2^(12t)`
Company D:
`f(t) = 0.97^(12t)`

The bases of functions B and D are less than 1 and the bases of functions A and C are larger than 1. So this mean, sales of company B and D are decaying and sales of company A and C are growing.