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.
Part A:
The price of a box of Luke's original brand of cereal is $10.
The price of a box of the super-saving brand is given by the equation y = 9x.
To find the difference in price between the two brands, we can subtract the price of the super-saving brand from the price of the original brand:
10 - (9x) = 10 - 9x
Therefore, the price of a box of Luke's original brand of cereal is 10 - 9x dollars more than the price of a box of the super-saving brand.
Part B:
If Luke buys 5 cereal boxes each month, we can substitute x = 5 into the equation y = 9x to find the monthly cost of the super-saving brand:
y = 9 * 5 = 45
Therefore, Luke saves $45 each month with the change in cereal brand.