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.

[ .]

A. $1.1

B. $6.6

Step-by-step 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 .

We are also told that 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.

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:

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

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

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.