Question

Kari makes homemade salsa to serve with tortilla chips at her restaurant. She uses 4 pounds of tomatoes to make 10 cups of salsa. There is a proportional relationship between the pounds of tomatoes, x, and the cups of salsa, y.
Which equation represents the relationship between x and y?

Y = 0.25x
Y = 0.4x
Y = 2.5x
Y = 6x

How many pounds of tomatoes should Kari use to make 30 cups of salsa?

5
7.5
12
24

Answer 1

To find the equation that represents the relationship between the pounds of tomatoes (x) and the cups of salsa (y), we start with the given information: 4 pounds of tomatoes produce 10 cups of salsa.

First, we can find the ratio of cups of salsa per pound of tomatoes:

\[
\text{Cups of salsa per pound} = \frac{10 \text{ cups}}{4 \text{ pounds}} = 2.5 \text{ cups per pound}
\]

This means that for every pound of tomatoes used, Kari makes 2.5 cups of salsa. Therefore, the relationship can be expressed mathematically as:

\[
y = 2.5x
\]

So, the equation that represents the relationship between x (pounds of tomatoes) and y (cups of salsa) is **Y = 2.5x**.

Next, to find out how many pounds of tomatoes Kari should use to make 30 cups of salsa, we can set up the equation using the found relationship:

\[
30 = 2.5x
\]

Now, we can solve for \(x\):

\[
x = \frac{30}{2.5} = 12
\]

Thus, Kari should use **12 pounds of tomatoes** to make 30 cups of salsa.

### Summary of Answers:
1. The equation that represents the relationship is **Y = 2.5x**.
2. The number of pounds of tomatoes Kari should use to make 30 cups of salsa is **12**.