Question

A cheese manutacturer uses 65 gallons of milk to make 52 pounds of cheese. The weight of the cheese is directly proportional to the number of gallons of milk used to make the cheese,

Which graph represents the relationship between the number of gallons of milk and the number of
pounds of cheese that can be made from the milk?

Answer 1

C

Explanation:

Gallons of milk = x

Pounds of cheese = y

65 gallons will make 52 pounds of cheese. That is (65, 52)

Given that the relationship is proportion, therefore, the constant of proportionality would be y/x = 52/65

Simplify,

52/65 = ⅘ (4 pounds of cheese to 5 galloons of milk)

The graph that represents the relationship would have a unit rate of ⅘. Or in other words, would have a point (5, 4) which lies on the graph.

Graph C is the right option.