Final answer:
Cindy can rent the photo booth for a maximum of 4 additional hours beyond the first two hours within her $700 budget. The equation used to solve this was C = $500 + $50x, where C must not exceed $700. The correct answer is option (b) 44.
Step-by-step explanation:
The subject of this question is Mathematics, specifically it deals with linear equations and budget constraints. Cindy wants to stay within a $700 budget for her photo booth rental which costs $500 for the first two hours. Each additional hour costs $50. We need to calculate the maximum number of additional hours she can rent the photo booth without exceeding her budget.
Let's define 'x' as the number of additional hours Cindy wants to rent the photo booth for. The equation representing the total cost 'C' will be:
C = $500 + $50x
Since Cindy's budget is $700, we set up the inequality:
$500 + $50x ≤ $700
Solving the inequality for 'x' gives us:
$50x ≤ $200
x ≤ 4
Therefore, Cindy can rent the photo booth for a maximum of 4 additional hours beyond the first two hours without spending more than $700.
The correct answer is option (b) 44.