Question

Question

Use the image to answer the question.

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

Answer 1

To determine how many slices of mango are needed for 10 cups of yogurt based on the provided points, we first need to identify the relationship between the number of cups of yogurt (x) and the slices of mango (y).

The points given are:

• (2, 16)
• (4, 32)
• (6, 48)

From these points, we can observe a pattern. Specifically, for every 2 cups of yogurt, there are 16 slices of mango. This suggests that the relationship between cups of yogurt and slices of mango is linear and follows the equation:

\[ y = 8x \]

This means that for each cup of yogurt, there are 8 slices of mango. To find out how many slices of mango are needed for 10 cups of yogurt:

\[ y = 8 \times 10 = 80 \]

Therefore, 80 slices of mango are needed for 10 cups of yogurt.