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 : amount. Make sure to show work to receive credit.
Part A)
Let's define the variables:
Let x represent the number of hours spent bowling.
Let F represent the total cost at Fun Time Bowling.
Let S represent the total cost at Strike Zone Bowling.
Fun Time Bowling has a shoe rental fee of $3 and $9 per hour. Therefore, the total cost at Fun Time Bowling can be calculated using the equation:
F = 3 + 9x
Strike Zone Bowling has a shoe rental fee of $5 and $8 per hour. Therefore, the total cost at Strike Zone Bowling can be calculated using the equation:
S = 5 + 8x
Part B)
To determine when both Bowling Alleys will cost the same amount, we can set the two equations equal to each other and solve for x.
3 + 9x = 5 + 8x
To solve for x, we can subtract 8x from both sides of the equation:
3 + x = 5
Subtract 3 from both sides of the equation:
x = 2
Therefore, both Bowling Alleys will cost the same amount after 2 hours of bowling.