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

Answer:

$378$

Step-by-step explanation:

Given : 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.

To Find: 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.

Solution:

Let x be the total amount for both a DJ and a light show

DJ's cost between $219.00 and $369.00 per night

The light shows cost between $159.00 and $309.00 per night.

Minimum cost for Dj and light show both =Minimum DJ cost +Minimum light show cost

                                                                    = 219+159

                                                                    = 378

Maximum cost for Dj and light show both =Maximum DJ cost +Maximum light show cost

                                                                    = 369+309

                                                                    = 678

So, Compound inequality:Minimum cost for Dj and light show both <x<Maximum cost for Dj and light show both

Compound inequality: $378$

Hence a compound inequality that represents the possible total amount you would pay, x. is $378$

Answer 2

From $378 (min) to $528 (max) per night