Chad used the table to show the ratios of the different types of sports game cards that he owns. for every 4 defense cards, he owns 2 offense cards. which graph represents the proportional relationship between his defense and offense cards?

Only the graph A represents the proportional relationship between the variables.

Given that :

For every 4 defense cards ; there are 2 offense cards :

Defense cards = y

Offense cards = x

For proportional relationship :

y α x

y = kx

k = y/x

k = constant of proportionality

k = 4/2

k = 2

y = 2x

The value of y when x = 4

The value of y when x = 4 When ; x = 4

The value of y when x = 4 When ; x = 4 y = 2×4 = 8

Only graph A gives the proportional value of y when x = 4

Hence, Graph A represents the proportional relationship between defense and offense.

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