The Coordinate Plane Unit Test
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Question
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A graph plots cups of yogurt versus slices of mango on x and y axes, respectively, with the x-axis ranging from 0 to 10 in increments of 1 and the y-axis ranging from 0 to 80 in increments of 8. Details of the plots are as follows: left parenthesis 2 comma 16 right parenthesis; left parenthesis 4 comma 32 right parenthesis; and left parenthesis 6 comma 48 right parenthesis.
How many slices of mango are needed for 10 cups of yogurt?
(1 point)
slices of mango
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To find the number of slices of mango needed for 10 cups of yogurt, we need to evaluate the value of y when x is 10.
Looking at the given points, we can see that as the cups of yogurt increase by 2, the slices of mango also increase by 16. This means that for every 2 cups of yogurt, we need 16 slices of mango.
Since we want to find the number of slices of mango for 10 cups of yogurt, we can set up a proportion:
2 cups of yogurt / 16 slices of mango = 10 cups of yogurt / x slices of mango
Cross multiplying, we get:
2x = 16 * 10
2x = 160
Dividing both sides by 2, we get:
x = 80
Therefore, 80 slices of mango are needed for 10 cups of yogurt.