Question

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 $8S per hour for sound technicians. Jenna has S100 and can reasonably expect to raise up to an additional $350 by taking pre-orders for CDs. Complete the explanation of how the inequality 100 225+85n450 can be used to find the number of hours Jenna and her band can afford to use the studio and sound expression________ gives the cost of the studio and technicians. The band will spend between $100 and $_______find the blank spaces (please hurry it's due tomorrow)​

Answer 1

To find the number of hours Jenna and her band can afford to use the studio and sound technicians, we set up an inequality that represents the total cost they can afford and solve for the number of hours. Jenna's band can afford to use the studio and sound technicians for a maximum of 56 hours.

Step-by-step explanation:

To find the number of hours Jenna and her band can afford to use the studio and sound technicians, we need to set up an inequality that represents the total cost they can afford. Let's break down the given information:

• The cost to use the studio for one day is $225.
• The cost per hour for sound technicians is $8S.
• Jenna has $100 and expects to raise an additional $350 from pre-orders.

To calculate the maximum total cost they can afford, we add Jenna's available funds ($100 + $350) to the cost of using the studio and sound technicians:

Total cost ≤ $100 + $350 + $225 + $8S

This inequality can be simplified to:

$675 + $8S ≥ $100 + $225

$8S ≥ $100 + $225 - $675

$8S ≥ $450

To find the number of hours Jenna and her band can afford, we divide both sides of the inequality by 8:

S ≥ 450/8

S ≥ 56.25

Since the number of hours cannot be a decimal, Jenna's band can afford to use the studio and sound technicians for a maximum of 56 hours.