While visiting Joe Pool Lake, Miss James decided to go kayaking. The store charges $8.50 per hour in addition to a $25.00 deposit to rent the kayak. Which linear equation represent... While visiting Joe Pool Lake, Miss James decided to go kayaking. The store charges $8.50 per hour in addition to a $25.00 deposit to rent the kayak. Which linear equation represents the total cost to rent the kayak?
Understand the Problem
The question requires determining the correct linear equation that represents the total cost to rent a kayak, based on a deposit and an hourly rental fee.
Answer
The linear equation for the total cost is $y = 8.50x + 25$.
Answer for screen readers
The correct equation representing the total cost to rent the kayak is: $$ y = 8.50x + 25 $$
Steps to Solve
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Identify the Costs The total cost to rent the kayak consists of a fixed deposit and a variable fee. The fixed deposit is $25.00, and the hourly rental fee is $8.50.
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Define the Variables Let ( y ) be the total cost to rent the kayak and ( x ) be the number of hours rented.
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Construct the Equation The total cost can be expressed as the sum of the deposit and the product of the hourly rate and the number of hours: $$ y = 8.50x + 25 $$
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Rewrite in Standard Form This equation shows the slope-intercept form, ( y = mx + b ), where the slope ( m = 8.50 ) (the hourly rate) and ( b = 25 ) (the deposit).
The correct equation representing the total cost to rent the kayak is: $$ y = 8.50x + 25 $$
More Information
This equation shows that for every hour (( x )) spent renting the kayak, the total cost (( y )) increases by $8.50, starting from a base deposit of $25.00.
Tips
- Confusing the deposit and the hourly rate in the equation.
- Misplacing the constants when setting up the equation, such as reversing the order.
