Luke buys a certain brand of cereal that costs $11 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 6 cereal boxes each month? show your work.

Basically, the function for the first cereal is

Because, the problem states that it costs $11 per box.

Now, the another cereal that Luke decides to by is $9 per box, which is expressed

Now, the difference between the costs is $2, because 11-9=2. So, the original brand costs $2 more than the super-saving brand.

Now, if Luke buys 6 cereal boxes per month, the cost in each case would be

This means that Luke is saving per month 66-54=12. So, by buying 6 cereal boxes of the second choice, he will save $12 per month.

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.