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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.

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calculista

Answer:

The minimum amount in sales this month to meet her goal is [tex]\$5,714.29[/tex]

Step-by-step explanation:

Let

x----> amount in sales this month

we know that

[tex]7\%=7/100=0.07[/tex]

The inequality that represent this situation is equal to

[tex]2,500+0.07x\geq2,900[/tex]

Solve for x

Subtract 2,500 both sides

[tex]0.07x\geq2,900-2,500[/tex]

[tex]0.07x\geq400[/tex]

Divide by 0.07 both sides

[tex]x\geq400/0.07[/tex]

[tex]x\geq \$5,714.29[/tex]

therefore

The minimum amount in sales this month to meet her goal is [tex]\$5,714.29[/tex]

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