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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The graph plots the relationship between cups of yogurt and slices of mango. We can assume from the given points that this relationship is linear because each increase of 2 cups of yogurt corresponds to an increase of 16 slices of mango:
- At (2, 16), 2 cups of yogurt correspond to 16 slices of mango.
- At (4, 32), 4 cups of yogurt correspond to 32 slices of mango. The increase from 2 to 4 cups (which is 2 cups) corresponds to an increase from 16 to 32 slices (which is 16 slices).
- At (6, 48), 6 cups of yogurt correspond to 48 slices of mango. The increase from 4 to 6 cups (which is 2 cups) corresponds to an increase from 32 to 48 slices (which is 16 slices).
With this pattern, we can deduce that for every 2 cups of yogurt, we need an additional 16 slices of mango.
To find out how many slices of mango are needed for 10 cups of yogurt, we can continue the pattern:
- 8 cups of yogurt would correspond to 64 slices of mango (48 + 16).
- 10 cups of yogurt would then correspond to 80 slices of mango (64 + 16).
So for 10 cups of yogurt, you would need 80 slices of mango.