Solve the following equation: 5n+34=−2(1−7n). Write descriptive steps using vocabulary and mathematical reasoning explaining how
1 answer:
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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 . 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:
Divide all sides by 8:
A negative value for x doesn't actually make sense, so the solution space is
So, she can rent the studio for up to 4 hours.
C
The price for 6 hours is
If Jenna raises 350 dollars, she has 550 dollars. So, she needs
more dollars to rent the studio for 6 hours