Question

A rock-climbing gym called Rock-and-Roll charges $2.75 to rent shoes, and $3 per hour to climb. A competing gym, Climb the Walls, charges $4.25 to rent shoes, and $2.50 per hour to climb.

a. Write an equation that gives the cost y of renting shoes and climbing for x hours at Rock-and-Roll.

Answer 1

The equation that gives the cost y of renting shoes and climbing for x hours at the Rock-and-Roll gym is y = 3x + 2.75, where y is the total cost and x is the number of climbing hours.

Step-by-step explanation:

To calculate the cost y of renting shoes and climbing for x hours at Rock-and-Roll, we need to consider both the fixed cost of renting shoes and the variable cost of climbing per hour. The rock-climbing gym charges a flat fee of $2.75 for shoe rental and $3.00 per hour for climbing. Therefore, the equation representing the total cost y for x hours of climbing is:

y = 3x + 2.75

Step-by-step explanation:

• Identify the fixed cost: shoe rental fee at Rock-and-Roll of $2.75.

• Identify the variable cost: the cost of climbing per hour at Rock-and-Roll of $3.00.

• Combine the fixed cost with the variable cost multiplied by the number of hours to form an equation: total cost (y) = fixed cost + (cost per hour * number of hours).

• Express the equation mathematically as y = 3x + 2.75, where y represents the total cost and x represents the number of hours of climbing.