Jason's business computers need servicing. The expression 81x + 108 represents a contractor's total charges in dollars for fixing the problem. The expression 103x + 64 represents an electronic store's total charges in dollars for the same work. In both expressions, x is the number of hours it took to complete the job. What is the difference in the total charges for a repair job that takes 45 minutes? Explain.

The Jason's company charges more than the contractor's company.

Step-by-step explanation:

There are two expressions given for total charges for two companies as 81 x+108 and 103 x+64.

Here x represents number of hours.

We are asked to find difference in total charges if that takes 45 minutes.

45 minutes = hours.

Plug in this value for x.

81x+108 =

Simplify it

60.75 +108 =168.75

Now, for 103x+64 =

Simplify it,

77.25+64=141.25

If we see the total charge for both companies for 45 minutes, the Jason's business computers charges more than contractor's company.

step-by-step explanation:

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