Question

Sue buys a certain brand of cereal that costs $12 per box. Sue changes to a super-saving brand of the same size. The equation shows the price, y, as a function of the number of boxes, x, for the new brand.

y = 8x

Part A: How many more dollars is the price of a box of Sue’s original brand of cereal than the price of a box of the super-saving brand? Show your work.

Part B: How much money does Sue save each month with the change in cereal brand if she buys 4 cereal boxes each month? Show your work.

Answer 1

If y = 8x, and x is the number of boxes, 8 is the price of every box.

Then:

A) Price of the super-saving brand: 8
Price of the Sue´s original brand: 12
Difference 12 - 8 = 4.

Answer: the price of a box of Sue's original brand of cereal is $4 more than the price of a box ot the super-saving brand.

B) 4 boxes per month.

- Super-saving: y = 8(4) = 32
- Original: 12(4) = 48

Saving: 48 - 32 = 16.

Answer: Sue saves $16 each month.