Question

Ms. berry was getting ready for her wedding and was in need of a DJ. She interviewed DJ pots and pans and he told her that he charges $150 for showing up. Each hour he charges $101.

a)Write a function that represents DJ pots and pans rate d(j), where j represents the amount of hours played
b) Ms. berry only has $350 to spend. How many hours can she rent DJ pots and pans?
c)If Ms. berry's wedding runs from 7 p.m. to 12:00 a.m. How much money will she spend if she rents DJ pots and pans?

Answer 1

DJ Pots and Pans' rate is represented by the function d(j) = 150 + 101j. Ms. Berry can afford to hire the DJ for 1 hour with her $350 budget. For a 5-hour wedding, she would spend a total of $655.

Step-by-step explanation:

To represent DJ Pots and Pans' rate with a function, we need to take into account the fixed cost of showing up and the hourly rate. The function d(j) where j represents the number of hours the DJ plays is:

d(j) = 150 + 101j

For part b, if Ms. Berry has $350 to spend, we can calculate the maximum number of hours she can afford as follows:

350 = 150 + 101j

j = ​(350 - 150) / 101

j ≈ 1.98 ≈ 1 hour (since she can't hire the DJ for a fraction of an hour)

So, Ms. Berry can afford to hire DJ Pots and Pans for 1 hour.

For part c, the wedding runs for 5 hours (from 7 p.m. to 12 a.m.), thus:

Cost = 150 + (101 × 5)

Cost = 150 + 505

Cost = $655

Therefore, Ms. Berry will spend $655 to rent DJ Pots and Pans for her 5-hour wedding.