Question

1. at a flea market, used computer games are sold at the prices shown in the table below.

number of games: 2, 5, 7
price ($): 9.00, 22.50, 31.50
do the number of games and price form a proportional relationship? explain.

Explanation:

Step1: Calculate unit price for 2 games

$\frac{9.00}{2} = 4.50$

Step2: Calculate unit price for 5 games

$\frac{22.50}{5} = 4.50$

Step3: Calculate unit price for 7 games

$\frac{31.50}{7} = 4.50$

Step4: Check proportionality

All unit prices are equal, so the ratio of price to number of games is constant.

Answer:

Yes, the number of games and price form a proportional relationship. The unit price (price per game) is a constant $\$4.50$ for all quantities, meaning the ratio of price to number of games is always equal, which defines a proportional relationship.