Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. A fashion photographer needs to hire a stylist to prepare his models. Chloe charges $165 for showing up, plus $71 per hour. Rodrigo charges $168 plus $68 per hour. The photographer realizes that, given the expected duration of his photo shoot, either stylist would cost him the same amount. What would the duration be? What would the cost be?
If the shoot lasted for BLANK
hours, either stylist would cost BLANK $

In the first hour it will cost $236 because for showing up and for the first hour.

but Rodrigo will be cheaper because the showing up money doesn't increase each hour, so in conclusion. Rodrigo is cheaper by $3

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