Dana and monique are monique's workday is 8 hours. dana and monique each work 40 hours per week. dog groomers. dana's workday is 10 hours and on monday, dana groomed 15 dogs in 10 hours and monique groomed 10 dogs in 8 hours. they each earn $12.75 for each dog groomed. assuming that for the rest of the week dana and monique groom the same number of dogs per workday as they did on monday, what will be the difference between their weekly earnings? show your work

Dana : she works 4 days and gets paid $ 12.75 per dog...and she grooms 15 dogs per dayso Dana makes : 4(12.75 * 15) = 4(191.25) = $ 765

Monique : she works 5 days and gets paid $ 12.75 per dog...and she grooms 10 dogs per dayso she makes : 5(12.75 * 10) = 5(127.50) =

$ 637.50

so the difference between their weekly earnings is : (765 - 637.50) =

$ 127.50

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