The solution to this system of equations is: The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options. (Option C).
It means that if the number of hours worked is above 20, then it is more profitable to utilize the $20/hour rate.
Recall that the contractor has two options for billing a completed job. They are:
Let us fix x hours to be required for completing the project:
Note that:
The total amount recievable per contract is $500 while working on a retail basis, it will cost $25x.
Stating this mathematically, e have
25x < 500 when x < 20.
This mean that
25x < 500 when x < 20.
Then we find that by I contract he would get 500 $ but by II choice he would get 25x dollars
We find that
25x<500 if x<20
This suggests that a $500 flat rate is preferable if the number of hours done is fewer than 20.
Hence the correct answer is Option C.
Learn more about systems of equations at:
https://brainly.com/question/847634
#SPJ1