Michael is paid $9 per hour to work at the movie theater and $7 per hour when he his aunt at her bakery. michael cannot work more than 32 hours in a week, but he wishes to earn at least $251 each week. which work schedule is within michael’s constraints?

The answer is choice C (19 hours at the movie theater and 12 hours at the bakery).

Step-by-step explanation:

The question didn't list the multiple choice answers given. Both of the choices A and B equal to too many hours worked. (A would be 33 hours, B would equal 35 hours, question states cannot work more than 32 hours a week)

Let m stand for Movie theater hours, b for bakery hours worked.

Equation would be:  9m + 7b ≥ 251

   9(19) + 7(12) ≥ 251

171 + 84 = 255; which is ≥ 251

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

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step-by-step explanation:

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