Question

Liz earns a salary of $2,600 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

Her salary of 2600 per month doesn't change, what does change is the amount of money she makes dependent upon her dollar amount in sales.  She earns 7% of her sales, which is our unknown.  And we know that she would like make at least $2900 this month.  That means that it's ok to make exactly 2900 and it's of course ok to make more than 2900 but it's not ok to make less than that.  So our inequality sign is greater than or equal to.  Now let's set it up as an inequality:  $2600+.07x \geq 2900$ where of course, as stated earlier, the unknown is her sales in dollars.  It doesn't look like you need to solve this.