Jan goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Jan pays for admission and the number of rounds she golfs is... Jan goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Jan pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, r, that Jan golfs?
Understand the Problem
The question is asking for an equation that models the situation of Jan's costs for miniature golfing, based on the admission and per round fees, in relation to the total amount she spent.
Answer
The equation is $7.50 + 6.25r = 26.25$.
Answer for screen readers
The equation that can be used to determine the number of rounds, $r$, that Jan golfs is:
$$ 7.50 + 6.25r = 26.25 $$
Steps to Solve
- Identify the total cost equation
Jan’s total cost consists of a fixed admission fee of $7.50 and a variable cost of $6.25 per round of miniature golf, represented as $6.25 \cdot r$ where $r$ is the number of rounds. Therefore, the total cost is given by:
$$ \text{Total Cost} = 7.50 + 6.25r $$
- Set up the equation based on total spending
We know that the total amount she spends is $26.25. Thus, we can set up the equation:
$$ 7.50 + 6.25r = 26.25 $$
- Rearranging the equation
To solve for $r$, we can rearrange the equation by isolating $6.25r$:
$$ 6.25r = 26.25 - 7.50 $$
- Simplifying the equation
Calculating the right side gives:
$$ 6.25r = 18.75 $$
Now we have an equation that can be solved for $r$.
The equation that can be used to determine the number of rounds, $r$, that Jan golfs is:
$$ 7.50 + 6.25r = 26.25 $$
More Information
This equation shows how the total cost is made up of a fixed admission fee and a variable cost per round, helping to model the relationship between the costs and the number of rounds played.
Tips
- Incorrectly interpreting total costs: Make sure to account for both the admission and the cost per round correctly.
- Misplacing values: Ensure that the numbers relate correctly to admission and rounds in your equation.
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