Question

Liz earns a salary of $2,500 per month, plus a commission of 7% of her sales. She wants to earn at least $2,900 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.

Answer 1

The minimum amount in sales this month to meet her goal is
`\$5,714.29`

Explanation:

Let

x----> amount in sales this month

we know that

`7\%=7/100=0.07`

The inequality that represent this situation is equal to

`2,500+0.07x\geq2,900`

Solve for x

Subtract 2,500 both sides

`0.07x\geq2,900-2,500`

`0.07x\geq400`

Divide by 0.07 both sides

`x\geq400/0.07`

`x\geq \$5,714.29`

therefore

The minimum amount in sales this month to meet her goal is
`\$5,714.29`