Question

A rock-climbing gym called Rock-and-Roll charges $2.75 to sent shoes, and 3$ 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 given the cost y of renting and climbing for x hours at Rock-and-roll.

B. Write an equation that gives the cost y of renting shoes and climbing for x hours at climb the walls

Answer 1

The equation for Rock-and-Roll is y = 2.75 + 3x and the equation for Climb the Walls is y = 4.25 + 2.50x.

Step-by-step explanation:

Let x be the number of hours and y be the cost of renting and climbing at Rock-and-Roll.

To find the equation for Rock-and-Roll:

• The cost of shoe rental is $2.75, which remains constant, so it doesn't depend on the number of hours.
• The climbing fee is $3 per hour, so it is multiplied by the number of hours.
• Therefore, the equation for Rock-and-Roll is y = 2.75 + 3x.

For Climb the Walls:

• The cost of shoe rental is $4.25, which remains constant.
• The climbing fee is $2.50 per hour, so it is multiplied by the number of hours.
• Therefore, the equation for Climb the Walls is y = 4.25 + 2.50x.