To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 180 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 180 is 100%, so we can write it down as 180=100%.
4. We know, that x is 30% of the output value, so we can write it down as x=30%.
5. Now we have two simple equations:
1) 180=100%
2) x=30%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
180/x=100%/30%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 30% of 180
180/x=100/30
(180/x)*x=(100/30)*x - we multiply both sides of the equation by x
180=3.33333333333*x - we divide both sides of the equation by (3.33333333333) to get x
180/3.33333333333=x
54=x
x=54
now we have:
30% of 180=54
The graph increases then stays constant
$5.60 x 40 = $224
$287 - $224 = $63
$63 / $8.40 = 7.5
answer
7.5 hours of overtime