Question

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

Answer 1

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

Answer 2

Answer:

The correct option is C.

Step-by-step 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.

$-11\%$

$B$

Therefore the correct option is C.