Question

You are buying packages of beads to make bracelets. Each package costs $3 plus 7% tax. You have a gift card for $15, and you plan to use only the gift card to pay for the beads. Which function c(p) represents the total cost, where p represents the number of packages of beads you purchase? What is a reasonable domain?

A. c(p) = 3.21p − 15; {0, 1, 2, 3, 4}
B. c(p) = 3.21p; all nonnegative integers
C. c(p) = 0.07(3p − 15); all nonnegative integers
D. c(p) = 1.07(3p); all nonnegative integers

Answer 1

A

Explanation:

You must multiply the number your buying by the price then you need to multiply by 1.07 because you need 7% or .07 to get the tax but you want to add that to the old number so you need a 1 in front so the answer is c(p) = 1.07(3p) however you still need the $15 gift card so instead you add the 7% into the three dollars you are multiplying by the number then subtract the 15 dollars because you aren't really paying. The reasonable domain is 0 1 2 3 4 because the number 5 would be over the 15 dollar limit.