Question

To raise money for after-school programs at an elementary school, a group of parents is holding a weekend of games in a community center. They charge $8 per person for entry into the event. The group would like to earn at least $600, after paying for the cost of renting the space, which is $40 an hour. If x represents the number of entry tickets sold and y the hours of space rental, which inequality represents the constraints in the situation? Group of answer choices 8x-40y 600 8x-40y > 600

Answer 1

`8x-40y\geq 600` and
`x>0,y>0`

Explanation:

The number of people is
`x` and the number of hours they are present in the space is
`y`.

Per person entry cost is $8.

Per hour cost of rent is $40.

They plan to earn a minimum of $600.

Donations by all the people entering the space is
`8x`

Total cost of renting the space is
`40y` which will be subtracted from the total amount of donations.

The inequality that represents the situation is
`8x-40y\geq 600` and
`x>0,y>0`.