Question

The following table shows the expressions that represent the sales of 4 companies:

Company A B C D
Sales 340(1.03)x 275(0.89)x 180(1.23)x 260(1.90)x Rank the company sales by smallest to largest percent of increase and select the correct answer below.
A. A, B, C, D
B. A, D, B, C
C. B, A, C, D
D. C, B, D, A

Answer 1

Answer: C). B, A, C, D

Explanation:

.89<1.03<1.23<1.9

Answer 2

Answer: C. B, A, C, D

Explanation:

We know that the exponential growth function is represented by :-

`A(1+r)^x`, where r is the growth rate.

The exponential decay function is represented by:-

`A(1-r)^x`, where r is the decay rate.

Now for Company A the sales function=
`340(1.03)^x=340(1+0.03)^x`

⇒ It is a growth function with growth rate 0.03 or 3 %.

For Company B the sales function=
`275(0.89)^x=275(1-0.11)^x`

⇒ It is a decay function with decay rate 0.11 or 11 %.

Similarly for Company C, there is growth rate of 0.23 or 23% and for Company D, there is growth rate of .90 or 90 %

Thus, the rank according to the sales by smallest to largest percent of increase will be B, A, C, D