Q:

Jenna's band is going to record a CD at a recording studio. they will pay $200 to use the studio for one day and $85 per hour for sound technicians. Jenna has $125 and can reasonably expect to raise up to an additional $425 by taking pre-orders for CDs. complete the explanation of how the inequality 125 ≤ 200 + 85n ≤ 550 can be used to find the number of hours Jen and herb and can afford to use the studio and sound technicians.please explain your answer.​

Accepted Solution

A:
Answer:200 < 225 + 80x < 550The 200 is the amount the Jenna currently have. 225 + 80x is the amount that Jenna has to pay given x number of hours.550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.225 + 80x < 55080x < 550 -22580x < 32580x / 80 < 325/80x < 4.06 or 4 hours225 + 80x → 225 + 80(4) = 225 + 320 = 545The number of hours for the sound technician will range from 1 hour to 4 hours. Assuming they will use 6 hours.225 + 80(6) = 225 + 480 = 705705 - 550 = 155Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians.