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

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.

=5%

=5%

B.

=4.16%

=4%

C.

=6%

=5.7%

D.

=7.1%

=6.6%

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

ANSWER: A

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions