Pls help.

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.

2) 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.
Which of the following are true statements? Select all the apply. (2 points)

A) The rate of change for each Bowling Alley represents the cost of bowling per hour

B) The y-intercepts of the graphs represents the total cost

C) The y-intercept for Strike Zone Bowling is (0, 5)

D) The rate of change for FunTime bowling is $8

3) When would Bowling at Strike Zone be a better deal then Fun Time? (1 point)

A) 1 hour

B) 3 hours

C) 2 hours

D) Never

1 answer

Part A)
Let F represent the cost of bowling at Fun Time Bowling and S represent the cost of bowling at Strike Zone Bowling. Let x represent the number of hours bowled.

For Fun Time Bowling:
F = 3 + 9x

For Strike Zone Bowling:
S = 5 + 8x

Part B)
To determine when both Bowling Alleys will cost the same amount, we can set the equations equal to each other:

3 + 9x = 5 + 8x

Let's solve for x:

9x - 8x = 5 - 3
x = 2

So, both Bowling Alleys will cost the same amount after 2 hours of bowling.

2)
The true statements are:

A) The rate of change for each Bowling Alley represents the cost of bowling per hour
C) The y-intercept for Strike Zone Bowling is (0, 5)

3)
To determine when bowling at Strike Zone would be a better deal than Fun Time, we need to compare the costs for different numbers of hours.

Let's calculate the costs for different numbers of hours:

At Fun Time Bowling:
1 hour: F = 3 + 9(1) = 3 + 9 = $12
2 hours: F = 3 + 9(2) = 3 + 18 = $21
3 hours: F = 3 + 9(3) = 3 + 27 = $30

At Strike Zone Bowling:
1 hour: S = 5 + 8(1) = 5 + 8 = $13
2 hours: S = 5 + 8(2) = 5 + 16 = $21
3 hours: S = 5 + 8(3) = 5 + 24 = $29

So, bowling at Strike Zone would be a better deal than Fun Time after 1 hour and 3 hours of bowling.
The answer is A) 1 hour and C) 3 hours.