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 a function of 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. (10 points)

A. $1.10      B. $6.60

Step-by-step explanation:

A. The equation y = 6.9x shows that the price of the new cereal is $6.90 because if x is 1 then the price is 6.9. From this we can find the difference of prices between the two cereal boxes: 8 - 6.9 = $1.10

B. The total amount of money for the original cereal is $8 × 6 = $48

The amount of money for the new cereal is $6.90 × 6 = $41.40

The money saved is: $48 - $14.40 = $6.60

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation: