Luke buys a certain brand of cereal that costs $10 per box. Luke 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=9x
Part A: How many more dollars is the price of a box of Luke'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 Luke save each month with the change in cereal brand if he buys 5 cereal boxes each month? Show your work. (10 points)
Part A: To find the difference in price between Luke's original brand and the super-saving brand, we can subtract the price of a box of the super-saving brand from the price of a box of Luke's original brand.
Original brand price: $10
Super-saving brand price: $9
Difference in price = Original brand price - Super-saving brand price
= $10 - $9
= $1
Therefore, the price of a box of Luke's original brand of cereal is $1 more than the price of a box of the super-saving brand.
Part B: To find how much money Luke saves each month with the change in cereal brand, we can multiply the savings per box by the number of boxes Luke buys each month.
Savings per box = Price of Luke's original brand - Price of super-saving brand
= $10 - $9
= $1
Number of boxes bought each month = 5
Total savings each month = Savings per box * Number of boxes bought each month
= $1 * 5
= $5
Therefore, Luke saves $5 each month with the change in cereal brand.