Munoz Bernard
11/22/2023 · High School
A rental car agency charges \( \$ 180.00 \) per week plus \( \$ 0.25 \) per n week for \( \$ 357.50 \) ?
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Step-by-step Solution
To find the number of weeks for which the rental car agency charges $357.50, we can set up an equation based on the given information.
Let \( n \) be the number of weeks for which the rental car agency charges $357.50.
The total cost for \( n \) weeks can be calculated as:
\[ \text{Total Cost} = \$180.00 + \$0.25 \times n \]
Given that the total cost is $357.50, we can set up the equation:
\[ \$180.00 + \$0.25 \times n = \$357.50 \]
Now, we can solve this equation to find the value of \( n \), which represents the number of weeks.
Solve the equation by following steps:
- step0: Solve for \(n\):
\(180+0.25n=357.5\)
- step1: Move the constant to the right side:
\(0.25n=357.5-180\)
- step2: Subtract the numbers:
\(0.25n=177.5\)
- step3: Divide both sides:
\(\frac{0.25n}{0.25}=\frac{177.5}{0.25}\)
- step4: Divide the numbers:
\(n=710\)
The number of weeks for which the rental car agency charges $357.50 is 710 weeks.
Quick Answer
The rental car agency charges $357.50 for 710 weeks.
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