Question 14 Answer and Explanation _ACT June 2015 Form 73C Math Section

Use the following information to answer questions 12-14

Carrier’s Chocolate Shop and Tamika’s Treat Shop both sell candy in boxes. The table below lists the price (the total amount the customer pays) of each box of candy sold at the shops. For each shop, there is a linear relationship between the price of a box of candies and the number of candies in that box. These are the only numbers of candies that can be purchased at the shops.

14. Which of the following equations gives the relationship between the price in dollars, c, and the number of candies, n, in a box of candies at Carrie’s Chocolate Shop?

F. c = 0.2n + 0.5

G. c = 0.3n

H. c = 0.5n + 1.5

J. c = n - 3.5

K. c = 1.4n - 5.5

Answer and Explanation

Your Answer is

Correct Answer is F

Explanation

Observe that at Carrie's store, for every 5 more candies, the price goes up by $1. And because the price of 5 pieces is 1.5 US dollars, the relationship c=0.5+0.2n can be obtained.