Liz earns a salary of $2,100 per month, plus a commission of 5% of her sales. She wants to earn at least $2,400 this month. How do you write an inequality to find amounts of sales that will meet her goal?

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Answer 1 · 2017-06-06T21:15:58

See a solution process below:

The expression to calculate Liz' earnings is:

#b + (c * s)#

Where:

#b# is the base salary. $2,100 for this problem.

#c# is the commission rate: 5% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 5% can be written as #5/100#.

#s# is the sales the commission rate is applied against. What we would solve for.

If Liz wants her earnings to be at least $2,400 this would indicate a greater than or equal to inequality, or, #color(red)(>=)#

We now have the information to write the inequality as:

#$2,100 + (5/100 * s) >= $2,400#

#$2,100 + (5s)/100 >= $2,400#