Pls help.

Question

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.

Answer 1

Let's define the variables:

Let "x" represent the number of hours played.
Let "y" represent the total cost of bowling at Fun Time Bowling.
Let "z" represent the total cost of bowling at Strike Zone Bowling.

Now we can write the system of equations for each bowling alley:

Fun Time Bowling: y = 3 + 9x
Strike Zone Bowling: z = 5 + 8x

To determine when both bowling alleys will cost the same amount, we can set y equal to z and solve for x using substitution:

3 + 9x = 5 + 8x

Bringing the terms with x to one side, we have:

9x - 8x = 5 - 3

Simplifying, we get:

x = 2

So, when we play for 2 hours, both bowling alleys will cost the same amount.

To find the total cost at this point, we can substitute the value of x back into one of the equations. Let's use the equation for Fun Time Bowling:

y = 3 + 9(2)
y = 3 + 18
y = 21

Therefore, at 2 hours of playtime, both bowling alleys will cost $21.

Answer 2

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