Question

what is the value of x in meters?
x = 24

1. a bowling alley charges $6.50 per game played and $4.00 for shoe rental. which table shows the cost, c, of renting shoes and playing g games of bowling?

a. bowling cost
games, g | cost, c (dollars)
1 | 10.50
3 | 18.50
5 | 26.50
b. bowling cost
games, g | cost, c (dollars)
1 | 10.50
3 | 23.50
5 | 36.50
c. bowling cost
games, g | cost, c (dollars)
1 | 6.50
3 | 10.50
5 | 14.50
d. bowling cost
games, g | cost, c (dollars)
1 | 6.50
3 | 19.50
5 | 32.50
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Explanation:

Step1: Determine the cost formula

The cost \( c \) should be the shoe rental plus the cost per game times the number of games. So the formula is \( c = 4 + 6.5g \), where \( g \) is the number of games.

Step2: Test \( g = 1 \)

Substitute \( g = 1 \) into the formula: \( c = 4 + 6.5(1) = 10.5 \). This matches the cost for \( g = 1 \) in tables A and B.

Step3: Test \( g = 3 \)

Substitute \( g = 3 \): \( c = 4 + 6.5(3) = 4 + 19.5 = 23.5 \). Now check the tables:

• Table A: For \( g = 3 \), cost is 18.5 (does not match).
• Table B: For \( g = 3 \), cost is 23.5 (matches).
• Table C: For \( g = 3 \), cost is 10.5 (does not match).
• Table D: For \( g = 3 \), cost is 19.5 (does not match).

Step4: Verify with \( g = 5 \) (optional)

Substitute \( g = 5 \): \( c = 4 + 6.5(5) = 4 + 32.5 = 36.5 \). Table B has 36.5 for \( g = 5 \), which confirms it.

Answer:

The correct table is B. Bowling Cost (with Games, g: 1, 3, 5 and Cost, c: 10.50, 23.50, 36.50 dollars)