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.

Question

Mathematics

Julie Harvey

19 April, 05:08

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.

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Anastasia Austin · Answer 1

219.00 + 159.00 = 378.00, the lowest cost of DJ & lights369.00 + 309.00 = 678.00, the highest cost of DJ & lights This means the lowest cost would be $434.00, and the highest cost would be $678.00, which written as our compound inequality:$378.00 ≤ x ≤ $678.00 If we wanted to write it as an interval format, it would look like:[$378.00, $678.00] (We use brackets because it's less/greater than or equal to those amounts.)