Question

Thomas buys a certain brand of cereal that costs $8 per box. Luke changes to a super-saving brand of the same size. The equation shows the price, y, as the number of boxes, x, for the new brand.

Y= 6.9x


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


Part B : How much money does he save each month with the change in cereal brand if he buys 6 cereal boxes each month? Show your work.


[ please help.]

Answer 1

A. $1.1

B. $6.6

Explanation:

Let x represent the number of boxes.

We have been given that Thomas buys a certain brand of cereal that costs $8 per box. So the cost of x boxes would be
`8x`.

We are also told that Luke changes to a super-saving brand of the same size. The equation
`y= 6.9x` shows the price, y, as the number of boxes, x, for the new brand.

A. The price of original box is $8 and price of each box of the super-saving brand is $6.9.

To solve part A, we need to subtract price of one box of the super-saving brand from price of a box of Thomas’ original brand as:

`\$8-\$6.9`

`\$1.1`

Therefore, the price of a box of Thomas’ original brand of cereal is 1.1 dollars more than the price of a box of the super-saving brand.

B. We can conclude from the findings of part A that $1.1 is saved per box with the change in cereal brand.

Since he buys 6 cereal boxes each month, so amount saved per month would be 6 times $1.1

`\text{Amount saved per month with the change in cereal brand}=\$1.1* 6`

`\text{Amount saved per month with the change in cereal brand}=\$6.6`

Therefore, he saves $6.6 each month with the change in cereal brand.