Fun Time Bowling has a shoe rental fee of $3 and $9 per hour. Strike Zone Bowling has a shoe rental fee of $5 and $8 per hour. Part A) Define the variables and write a system of equations to represent each Bowling Alley. Part B) Use the substitution method to determine when both Bowling Alleys will cost the same amount. Make sure to show work to receive credit. Upload a picture of your handwritten work. (6 points)
Part A)
Let x represent the number of hours of bowling.
For Fun Time Bowling:
Variable: x (number of hours)
Shoe rental fee: $3
Per hour fee: $9
Total cost: 3 + 9x
For Strike Zone Bowling:
Variable: x (number of hours)
Shoe rental fee: $5
Per hour fee: $8
Total cost: 5 + 8x
Part B)
To determine when both Bowling Alleys will cost the same amount, we set the total costs equal to each other and solve for x.
3 + 9x = 5 + 8x
Subtract 8x from both sides:
3 + x = 5
Subtract 3 from both sides:
x = 2
Therefore, both Bowling Alleys will cost the same amount after 2 hours of bowling.