Question

Hillary works at a video store. She earns $8.50 per hour plus 12% commission on all the sales she makes.If she works 24 hours in a week, which expression best describes her sales (x) if she earns at least $324 during that week?A 8.5 +0.12x greater than or equal to 324B 204 +0.12x greater than or equal to 324C 8.5 +0.12x less than or equal to 324D 204 + 0.12x less than or equal to 324If a train travels 40 mph for 12 hours, what is the total distance traveled?

Answer 1

The expression that best describes her sales: 204 + 0.12x greater than or equal to 324 (option B).

First, let's state what we are given:

Hilary earns = $8.5 per hour

Let all sales represent x

She earns 12% commission of all sales = 12% of x

`=\text{ 0.12}* x\text{ = 0.12x}`

If she works 24 hours = 8.5(24)

and earns at least $324 (greater than or equal to $324)

Total sales in 24 hours with at least $324:

`8.5(24)\text{ + 0.12x }\ge\text{ 324}`
`204\text{ + 0.12x }\ge\text{ 324}`

The expression that best describes her sales: 204 + 0.12x greater than or equal to 324 (option B).