A spice store charged 2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order.

Question

Write and simplify an expression to determine the cost of buying and shipping x ounces of paprika. Use 1 once = 28 grams

Can a customer buy 2.5 ounces of paprika and have it shipped for less than 8.00? Explain

Answer 1

the paprika costs .11 per gram ... 2.75/25

so 1 ounce costs 3.08 ... 28 * .11

buying and shipping x ounces
... (1 + .05) * 3.08 * x

Answer 2

cost = C

C = (2.75/25)(28/1)x + 0.05(2.75/25)(28/1)x
C = 3.234x

Answer 3

So a customer CAN NOT buy 2.5 ounces of paprika if you are being exact:
3.234(2.5) = 8.085
but it's really only .085 over budget.