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Luke buys a certain brand of cereal that costs $11 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 = 9x Part A: How many more dollars is the price of a box of Luke’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 Luke save each month with the change in cereal brand if he buys 6 cereal boxes each month? Show your work.

Respuesta :

Answer:A: y = 11x witch is the function for the original boxes that he bought witch was $11 per box while on the other hand, it was $9 per box of cereal so Y = 9x is going to be the function for the super saving brand so, therefore, it is a $2 difference between the original and the super saving brand and since there are 6 bowls of serial able to be made so...

Original brand 

Y = 11(6)

Y = 66

Super saving brand 

Y = 9(6)

Y = 54

So therefor 66-54=12 

That means that Luke saves $12 per month.

The amount like saves each month with the change in cereal brand if he buys 6 cereal boxes each month is $12

Given:

Cost of brand A = $11

Function of brand A

y = 11x

where,

y = total price

11 = price of each box

x = number of boxes

Function of super saving brand:

y = 9x

  • If Luke buys 6 boxes

Function of brand A

y = 11x

y = 11()

y = $66

Function of super saving brand:

y = 9x

y = 9(5)

y = $54

Therefore, the amount like saves each month with the change in cereal brand if he buys 6 cereal boxes each month is

$66- $54

= $12

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