Miss James decides she wants to go bowling. The bowling alley charges $15.50 per hour to rent the lane in addition to a $10.00 deposit to rent bowling shoes. Which linear equation... Miss James decides she wants to go bowling. The bowling alley charges $15.50 per hour to rent the lane in addition to a $10.00 deposit to rent bowling shoes. Which linear equation represents the total cost to go bowling?
Understand the Problem
The question is asking to identify the correct linear equation that represents the total cost for Miss James to go bowling, which includes both a rental fee per hour and a deposit for bowling shoes.
Answer
The total cost for Miss James to go bowling is represented by the equation $y = 15.50x + 10$.
Answer for screen readers
The correct linear equation that represents the total cost for Miss James to go bowling is: $$ y = 15.50x + 10 $$
Steps to Solve
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Identify the Fixed Costs Miss James must account for the fixed costs, which include a deposit for bowling shoes. According to the problem, this cost is $10.
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Identify the Variable Costs The hourly rate for renting the bowling lane is $15.50. This amount will vary with the number of hours played, denoted as $x$.
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Formulate the Equation The total cost $y$ can be expressed as the sum of the fixed cost and the variable cost. Therefore, the equation will be: $$ y = 15.50x + 10 $$
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Compare with Given Options Now, we can check the provided answer choices to find the correct equation that matches the formulated one.
The correct linear equation that represents the total cost for Miss James to go bowling is: $$ y = 15.50x + 10 $$
More Information
In this scenario, $x$ represents the number of hours spent bowling, and $y$ represents the total cost incurred by Miss James. The fixed cost for the shoe rental contributes an additional $10 to the overall expenses.
Tips
- Confusing fixed costs with variable costs: Always identify the components clearly before formulating the equation.
- Neglecting to include all costs: Make sure to account for both fixed and variable factors in the total cost calculation.
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