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

The least amount that we could pay is that when we choose a DJ for $219 and light show for $159. This totals to $378.

Then, solving for the maximum amount that we could pay. That is, the DJ is $369 and the light is $309 which totals to $678. All other possible amounts are in between these values such that the inequality that would best represent the scenario is,
                                           378 ≤ x ≤ 678