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. (10 points) PLEASEEEEEE help

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Answer:

part A : $4

part B : $16

Sue buys a certain brand of cereal that costs = $12 per box.

She changes to a super-saving brand of the same size.

The equation showing price y as a function of the number of boxes, x is for the new brand.

y = 8x

for x = 1, y = 8

So for 1 box super-saver cereal brand costs $8.00

Part A. - So saving per box = 12 - 8 = $4

Part B. - Money saved in 1 box = $4

Therefore, money saved in 4 boxes = 4 × 4 = $16

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The price of the Sue's original box is  $4 more than the super saving brand's box. Sue saves $16 per month if she buys 4 cereal boxes each month.

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we're specified that:

  • Price of original cereal box = $12 per box.
  • Price of super saving box = y = 8x, where x is the number of boxes.

putting x= 1, we get y = 8. Thus, for each box of super saving brand, Sue pays $8.

The difference between both box's price is: 12 - 8 = 4 dollars.

Also, as Sue saves 4 dollars on each box of cereal, and she buys 4 boxes of cereal, then if she buys the boxes of super saving brands, then she saves 4 dollars per box for 4 boxes, whose total is 4 times 4 =  16 dollars.

Thus, the price of the Sue's original box is  $4 more than the super saving brand's box. Sue saves $16 per month if she buys 4 cereal boxes each month.

Learn more about forming equations here:

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