Question

Chloe buys 18 bottles of pineapple juice at the corner store for a total cost of $11.52. Assume each bottle of juice is the same price. If c represents the total cost in dollars and cents of the juice for any number, j, of bottles of juice, write a proportional equation for c in terms of j that matches the context.

Answer 1

To find the proportional equation, divide the total cost ($11.52) by the number of bottles (18) to get the price per bottle. The proportional equation is c = (11.52/18) × j, where c is the total cost and j is the number of bottles.

Step-by-step explanation:

To write a proportional equation for c in terms of j, we first find the price per bottle of pineapple juice. We divide the total cost, $11.52, by the number of bottles, which is 18. This gives us the price per bottle. Using c for total cost and j for the number of bottles, the equation will be c = (11.52/18) × j.

The unit price per bottle c/j remains constant, thus the equation shows the direct proportionality between the cost c and the number of bottles j. In this case, each bottle costs $0.64. If Chloe buys a different number of bottles, we can multiply that number by $0.64 to find the new total cost.