Question

IF YOU ANSWER THIS I WILL GIVE YOU BRAINLIEST!! 21PTS

Jenna's band is going to record a CD at a recording studio. They will pay $225 to use the studio for one day and $80 per hour for sound technicians. Jenna has $200 and can reasonable expect to raise an additional $350 by selling pre-orders for the CD.

A)Explain how the inequality 200 < 225 + 80x < 550 can be used to find the number of hours Jenna and her band can afford to use the studio and sound technicians.

B)Solve the inequality. Are there any numbers in the solution set that to the situation?

C)Suppose Jenna raises $350 in pre orders. How much more money would she need to raise if she wanted to use the studio and sound technicians for 6 hours?

Answer 1

200 < 225 + 80x < 550

The 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 < 550
80x < 550 -225
80x < 325
80x / 80 < 325/80
x < 4.06 or 4 hours

225 + 80x → 225 + 80(4) = 225 + 320 = 545

The 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 = 705
705 - 550 = 155

Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians.