Question

At the grocery store, three brands of raisin bran are sold. For Brand A, a 15-ounce box of raisin bran costs $3.19. For Brand B, the equation y = 0 . 18 x represents the cost, y, of x ounces of raisin bran. For Brand C, the table shows the amounts paid for different amounts of raisin bran. Which brand provides the best deal for raisin bran? Explain your reasoning.

Number of Ounces Total Cost 0
0 $0
10 $1.60
24 $3.84
27 $4.32

Answer 1

Brand C

Explanation:

We are given that

For brand A

Cost of 15- ounces of raisin bran=$3.19

Cost of 1-ounce of raisin bran=
`(3.19)/(15)`=$0.21

For brand B

The equation

`y=0.18 x`

Where x=Ounces of raisin bran

y=Cost

Substitute x=1

Then, we get y=0.18

Cost of 1 ounce of raisin bran=$0.18

For brand C

Cost of 10 ounce of raisin bran=$.160

Cost of 1 ounce of raisin bran=
`(1.60)/(10)=`$0.16

`0.16<0.18<0.21`

The cost of 1 ounce of raisin bran is least for brand C.

Therefore, it is best deal for raisin bran .

Brand C

Answer 2

Brand C

Explanation:

Brand A:

Per ounce cost = 3.19/15 = $0.21

Brand B:

To get 1 oz cost, we put x = 1 into the equation, thus

y = 0.18 x

y = 0.18(1)

y = 0.18

Per ounce cost = $0.18

Brand C:

Per oz cost of 10 oz @ 1.60 = 1.60/10 = $0.16

Per oz cost of 24 @ 3.84 = 3.84/24 = $0.16

Per oz cost of 27 at 4.32 = 4.32/27 = $0.16

So, we can see that the best buy is Brand C, because it costs less [0.16 per oz].