Rafael sold t-shirts and hats at a festival. He made a $3 profit for each t-shirt he sold. He also made a profit $45 from selling hats. If he made a total profit of $93, how many t-shirts did he sell?

16

Step-by-step explanation:

The total profit is $93

He made a $45 profit selling hats

The question says he only sold t-shirts and hats

Since we are solving for the amount of t-shirts sold we subtract $45 from $93 and get $48 dollars earned from t-shirts

He makes $3 per t-shirt

We divide the amount per t-shirt by the total t-shirt money earned

This looks like: 48/3

We get 16 as our 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