Question

If the dance team earns $1 for every bag of caramel popcorn they sell and $2.50 for every bag of cheddar popcorn, which expression represents the total earnings based on the number of bags of caramel (X) and cheddar (Y) popcorn they should make?

a) 1X+2.50Y
b) 1.50X+Y
c) 2.50X+Y
d) 1X+1.50Y

Answer 1

The correct expression for the total earnings from selling X bags of caramel popcorn and Y bags of cheddar popcorn is 1X + 2.50Y. The correct option is a.

Step-by-step explanation:

The expression that represents the total earnings based on the number of bags of caramel (X) and cheddar (Y) popcorn they should make is 1X + 2.50Y.

Using a budget constraint equation similar to the provided reference, we can express earnings as E = P1X Q1 + P2X Q2 where E is the total earnings, P1 and P2 are prices for caramel and cheddar popcorn, respectively, and Q1 and Q2 are quantities sold.

Here, caramel popcorn earns $1 per bag, and cheddar popcorn earns $2.50 per bag. Therefore, if we sell X bags of caramel popcorn and Y bags of cheddar popcorn, the earnings will be: Earnings = 1X + 2.50Y The correct option is a.