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 o
wns 2 offense cards. Which graph represents the proportional relationship between his defense and offense cards?
2 answers:
Answer:
See the attached graphic
Step-by-step explanation:
1. Defense cards could be identify with <em>x</em> and offense cards with y.
2. Find the proportion:
<em>For every 4 defense cards (y), he owns 2 offense cards (x)</em>
<em>Offense cards (x) Defense cards (y)</em>
<em> 2 4</em>
<em> 3 6</em>
<em> 4 8</em>
If Chad has 4 offense cards, then he owns 8 Defense cards. Note that the proportional relationship between defense cards and offense cards is 2:1. In a mathematical expression:
3. Graph: See the attached graphic. Where y-axis (vertical) represents the defense cards and x-axis (horisontal) represents the offense cards.
Rgds!
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The one of the left isn't too tricky, in the bottom left of it you have 1/2 of 1/4 of the shape, and on the bottom right you have 1/4 of 1/4. Imagine the whole shape was cut up like that bottom right bit into 16 triangles, then you would have three of them shaded (see my diagram).
The one on the right seems like guesswork to me, so I'm sorry if I'm wrong. It look like you just have to use your eyes to work out how much of the bottom half of the shape is shaded: looks like 1/16 to me (i.e. you can draw four of those along and four down, again, see my diagram.) So plus the top half, which is 8/16, you get 9/16.
Answers: left picture: 3/16.
right picture: 9/16.
The one on the right seems like guesswork to me, so I'm sorry if I'm wrong. It look like you just have to use your eyes to work out how much of the bottom half of the shape is shaded: looks like 1/16 to me (i.e. you can draw four of those along and four down, again, see my diagram.) So plus the top half, which is 8/16, you get 9/16.
Answers: left picture: 3/16.
right picture: 9/16.