At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.

Yes, the cost y in dollars and the amount of yogurt  are proportional.

The equation is: y = 0.08x

Step-by-step explanation:

1. If y varies directly as x, you can write it as following: y = kx

Where k is the constant of proportionality.

2. Let's calculate the value of the constant of proportionality. If y = 2.56 and x = 32, you have:

y = kx

k = y/x

k = 2.56/32

k = 0.08

3. Then, the equation is: y = 0.08

4. Let's verify if they are directly proportional. Substitute  which is the amount of yogurt bought by Jonah. The result must be $0,48:

y = 0.08 (6)

y = 0.48

5. They are directly proportional.

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