Question

Kayden buys bottles of grapefruit juice at the corner store. Assume each bottle of juice is the same price. The proportional relationship between the number of juice bottles bought, j, and the total cost in dollars and cents, c, can be represented by the equation c=0.41j. What is the constant of proportionality from the number of bottles of juice bought to the total cost, in dollars and cents?

a. 0.41
b. 0.14
c. 2.44
d. 2.25

Answer 1

The constant of proportionality between the number of bottles of grapefruit juice bought and the total cost is 0.41, which means each bottle costs a)$0.41.

Step-by-step explanation:

The constant of proportionality in the equation representing the relationship between the number of bottles of juice bought, j, and the total cost, c, shown as c = 0.41j, is the factor that relates the two quantities linearly. This means for every additional bottle of grapefruit juice bought, the total cost increases by $0.41. Hence, if you buy one bottle of juice, it will cost $0.41; if you buy two, it will cost $0.82, and so on. This forms a direct proportion where the constant of proportionality is 0.41. Therefore, the answer is (a) 0.41.