Question

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?

Answer 1

the graph with slope equal to 2 will be proportional graph

Answer 2

Answer:

The graph is attached below.

Step-by-step explanation:

Given,

For, 4 defence cards, the number of offence cards = 2,

So, for 1 defence card the number of offence cards = $\frac{2}{4}$ = $\frac{1}{2}$

Thus, for x defence cards the number of offence cards, say y = $\frac{x}{2}$

I.e. the required equation that shows the proportional relationship between his defence and offence cards,

$y=\frac{x}{2}$

if x = -1, 0, 1, 2,

y = -1/2, 0, 1/2 1,

Therefore, we can plot the above line by joining the points (-1, -1/2), (0, 0), (1, 1/2), (2, 1) ( shown below )