Question

If you answer this i will give you brainliest!! 21pts

Answer 1

A

Let x be the number of hour spent in the studio. Since 225 is a fixed price, and they pay 80 dollars per hour, the total cost will be $225+80x$. Jenna has 200 dollars, and can raise 350 more dollars, so she can spend any amount between 200 and 200+350=550. That's why the inequality models this problem.

B

To solve the inequality, subtract 225 to all sides:

$200 - 225 < 225 + 80x < 550 - 225 \iff -25 < 80x < 325$

Divide all sides by 8:

$-\dfrac{25}{80} < x < \dfrac{325}{80}$

A negative value for x doesn't actually make sense, so the solution space is

$0 < x < \dfrac{325}{80} = 4.0625$

So, she can rent the studio for up to 4 hours.

C

The price for 6 hours is

$225+80\cdot 6 = 705$

If Jenna raises 350 dollars, she has 550 dollars. So, she needs

$705-550 = 155$

more dollars to rent the studio for 6 hours