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, x, proportional.

X is directly proportion to y.

Step-by-step explanation:

Given data:

X1 = 32-oz

y1 = $2.56

x2 = 6-oz

y2 = $0.48

Prove x ∝ y

Solution:

Assume that Prove x ∝ y

So,             x = k.y

                 k = x/y

Now K is the proportionality constant and its value can be known by putting the values of x1 and y1 in above equation:

k = 32-oz/$2.56 = 12.5

Proportionality constant = 12.5

Explanation of x ∝ y:

x is directly proportional to the y. to explain this lets put the value of y2 and k in equation. if the calculated value of x is equal to given value than the x is directly proportional to y.

Equation: x = k.y

By putting values in equation:

x = 12.5 × 0.48 = 6

x = x2(6-oz)

Which is equal to x2.

Hence proved that x ∝ y.

18.75 gallons

step-by-step explanation: