Aman buys four books from the store and a preferred reader discount card for $20. later that day, he goes back and buys five more books. he also got $5 discount using his new card. if he spent a total of $87 at the bookstore, how much did each book cost assuming every book cost the same amount?

Let x be the cost of each book.

So, the cost of 4 books is 4x.

For the purchase of 4 books, he got a discount of $20.

So, the amount he paid for the first four books = 4x - 20.

Now, the cost of 5 books is 5x.

For the purchase of 5 books, he got another discount of $5.

So, the amount he paid for the five books = 5x - 5.

Total money spent = $87.

Therefore, (4x - 20) + (5x - 5) = 87

4x + 5x - 20 - 5 = 87

9x - 25 = 87

9x = 87 + 25

9x = 112

Divide both sides by 9.

x = 12.4

Hence, the cost of each book = $12.4.

a is the right answer

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