Question

Tre has to pay $180 to book the recording studio plus $30 per hour of recording time. The function c(h)=30h+180 relates the total cost, c(h) of the recording session (in dollars) to the number of hours, (h) needed to record the tracks.

Answer 1

• 1. $330
• 2. 11.5 hours

Explanation:

Continuation of the question:

• 1. Find c (5) and interpret your solution in the context of the problem
• 2. Find the value of h when c() = 525 and interpret your solution in the context of the problem

Solution

• c(h) = 30h + 180

1 ...............................................

• c(5) = 30*5 + 180 = $330

2 ...............................................

• 525 = 30h + 180
• 30h = 525 - 180
• 30h = 345
• h = 345/30
• h = 11.5 hours