Question

The sales totals at Linda's food store have increased exponentially over the months. Which of these best shows the sales in the first three months?

A.) $1200 in the first month, $1260 in the second month, and $1323 in the third month

B.) $1200 in the first month, $1250 in the second month, $1300 in the third month

C.) $1200 in the first month, $1272 in the second month, $1344 in the third month

D.) $1200 in the first month, $1285 in the second month, $1370 in the third month

Answer 1

I may not know the formula much but read what it first says if you remember the lesson, "exponential" means it goes like a u while the linear goes straight and it never mentions that, just thought I can help. :) The question above may be incorrect due to not hearing the key words.

Explanation:

Answer 2

Exponential growth dictates that the each month the sales have to increase by a certain same percentage.

To test for the first three months sales data given, we need to see if the second month sales is the same percentage increase from first month sales as the third month sales is from the second month, percentage-wise.

A.

`(1260-1200)/(1200)=0.05`=5%

`(1323-1260)/(1260)=0.05`=5%

B.

`(1250-1200)/(1200)=0.0416`=4.16%

`(1300-1250)/(1250)=0.04`=4%

C.

`(1272-1200)/(1200)=0.06`=6%

`(1344-1272)/(1272)=0.057`=5.7%

D.

`(1285-1200)/(1200)=0.071`=7.1%

`(1370-1285)/(1285)=0.066`=6.6%

As seen, only option A has the same percentage increase in the first 3 months. So option A is correct.

ANSWER: A