Question

Liz earns a salary of $2,300 per month, plus a commission of 8% of her sales. She wants to earn at least $2,700 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what

Answer 1

`2300 + 0.08x \geq 2700`

and

`x\geq 5000`

Explanation:

Liz earns $2300. She then earns in addition to this 8% or 0.08 of what she sells. This is 0.08x. Together she earns 0.08x + 2300. If she wants to earn at least 2700 then this expression must be greater than or equal to 2700.

Combine these to write
`2300 + 0.08x \geq 2700`.

Solve:

`2300 + 0.08x \geq 2700\\\\2300-2300+0.08x\geq 2700-2300\\\\0.08x\geq 400\\\\x\geq 5000`