Question

An entertainment firm offers several DJ choices and light shows that range in price based on the rental time period. The DJ's cost between $219.00 and $369.00 per night and the light shows cost between $159.00 and $309.00 per night. If you are booking both a DJ and a light show, write a compound inequality that represents the possible total amount you would pay, x.

Answer 1

Okay so add 159 and 219 put a greater than or equal to sign and then at 369 and 309 and that will give you the compound inequality.

Answer 2

378 ≤ x ≤ 678

Explanation:

The amount you would pay will differ depending on which DJ and which lights you will choose.

If you choose the less expensive options you would pay 219 for the DJ and 159 for the lights. 219 + 159 = 378.

Therefore, $378 would be the cheapest price you would have to pay.

If you choose the most expensive options you would pay 369 for the DJ and 309 for the lights. 369 + 309 = 678.

Therefore the amount x you would pay would be between these two total amounts.

The compound inequality will be 378 ≤ x ≤ 678.