Question 360194
the total cost of double dipped chocolate pretzels varies directly with the number of pounds of pretzels purchased.


let C = total cost of pretzels.
let P = number of pounds of pretzels bought.


Since this ia a direct proportion, we get C = k*Q where k is the constant of proportionality.


When C = 54.42, P = 5


Our equation becomes:


54.42 = k*5


divide both sides of this equation by 5 to get:


k = 10.884


if we buy 6 pounds, we can find C since we now know what the constant of proportionality is.


we get C = 10.884 * 6 = 65.304


the constant of proportionality k in this equation just happens to be the cost per pound of chocolate.


assume the cost of each pound of pretzels is 10.884.


then 5 pounds = 10.884 * 5 = 54.42


and 6 pounds = 10.884 * 6 = 65.304