Answer:
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.