Question

As a salesperson, Brittany earns $1,200 a month plus 7.5% commission on her sales. She needs to earn at least $3,300 a month to pay all her bills. The following inequality can be used to find the amount of sales Brittany needs to have each month. 1200+0.075x > 3300. What is the solution to the inequality? A. x<28,000 B. x>28,000 C. x<33,750 D. x>33,750

Answer 1

Answer: B.
`x>28000`

Explanation:

Given : As a salesperson, Brittany earns $1,200 a month plus 7.5% commission on her sales. She needs to earn at least $3,300 a month to pay all her bills.

The following inequality can be used to find the amount of sales Brittany needs to have each month.

`1200+0.075x > 3300`

To solve the above inequality , subtract 1200 from both sides , we get

`0.075x>2100`

Divide both sides by 0.075 , we get

`x>28000` [∵
`(2100)/(0.075)=(2100000)/(75)=28000`]

Hence, the solution to the inequality is
`x>28000`.

Answer 2

B) x>28,000

Explanation:

if 1,200 + 0.075x >3,300 then

0.075x > 3,300 - 1,200

0.075x > 2,100

x > 2,100/0.075 (the inequality does not change because 0.075>0)

x > 28,000