Yani buys a certain brand of cereal that costs $10 per box. Yani 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 = 7x
Part A: How many more dollars is the price of a box of Yani's original brand of cereal than the price of a box of the super-saving cereal? Show your work.
Part B: How much money does Yani save each month with the change in cereal brand if he buys 5 cereal boxes each month? Show your work. (10 points)
Part A:
The price of Yani's original brand of cereal is $10 per box.
The price of the super-saving brand of cereal is given by the equation y = 7x.
To find how many more dollars the price of a box of Yani's original brand of cereal is compared to the super-saving cereal, we need to subtract the price of the super-saving cereal from the price of the original brand.
So, the difference in price is: 10 - 7x.
Part B:
If Yani buys 5 cereal boxes each month, we can substitute x = 5 into the equation y = 7x to find the total cost of buying the super-saving brand of cereal.
y = 7x
y = 7(5)
y = 35
So, the total cost of buying 5 boxes of the super-saving brand of cereal each month is $35.
To find how much money Yani saves each month with the change in cereal brand, we need to subtract the total cost of the super-saving cereal from the total cost of the original brand.
Original brand cost: 10 * 5 = $50
Super-saving brand cost: 35
Savings = Original brand cost - Super-saving brand cost
Savings = $50 - $35
Savings = $15
Therefore, Yani saves $15 each month with the change in cereal brand.