Suzie babysits for $6 per hour. She also works as a housecleaner for $9 per hour. She is only allowed to work 15 hours per week. She wants to make at least $95 per week. If we call babysitting, x, and housecleaning, y, which of the solutions would fit this scenario? (3,5)
(7,11)
(5,9)
(14, 3)

5,9

Step-by-step explanation:

if the numbers are supposed to be the amount of hours worked in each job, 7+11 and 14+3 goes over the 15 hour limit.

multiply 6 by the first number and 9 by the second number and you will see that 3,5 doesn't reach the 95 dollars she needs.

5,9 are the only ones that meet both requirements

30+81= 111 dollars made in 14 hrs

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