Mallory is on a budget and wants to determine which cereal is a better buy. a 10-ounce box of cereal costs $2.79, and a 13-ounce box of the same cereal costs $3.99.
i. which box of cereal should mallory buy?
ii. what is the difference between the two unit prices?

i. Mallory should buy the 10-ounce box of cereal.

ii. Difference is that the 13-ounce cost more on 1-ounce.

Step-by-step explanation:

First find the ounce/cost. Which 1-ounce of the $2.79 box of cereal is $0.28/ounce. The $3.99 box of cereal is $0.31/ounce. Therefore the $2.79 is cheaper to buy. The difference is 13-ounce box (which is 3 cents more) cost more in ounce than the 10-ounce.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1