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, B, C, D

A, D, B, C

B, A, C, D

C, B, D, A

Answer 1

I think it might be (B), not for sure but it has to be (B)

Answer 2

The correct option is C.

Explanation:

A general exponential function is defined as

`y=a(1+r)^x`

Where, a is initial value and r is growth rate.

The sales of company A is

`y=340(1.03)^x`

It can be written as

`y=340(1+0.03)^x`

Therefore the initial sales of company A is 340 and percent of increase is 3%.

The sales of company B is

`y=275(0.89)^x`

It can be written as

`y=275(1-0.11)^x`

Therefore the initial sales of company B is 275 and percent of increase is -0.11%. It means sales decrease by 11%.

The sales of company C is

`y=180(1.23)^x`

It can be written as

`y=180(1+0.23)^x`

Therefore the initial sales of company C is 180 and percent of increase is 23%.

The sales of company D is

`y=260(1.90)^x`

It can be written as

`y=260(1+0.90)^x`

Therefore the initial sales of company D is 260 and percent of increase is 90%.

We have to rank the company sales by smallest to largest percent of increase.

`-11\%<3\%<23\%<90\%`

`B<A<C<D`

Therefore the correct option is C.