Answer:
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.