SOLUTION: Bill is paid hourly. If he works 8 hours he will receive $50. Write an equation for his salary based on the number of hours he works.. Explain what you did to get your answer.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Bill is paid hourly. If he works 8 hours he will receive $50. Write an equation for his salary based on the number of hours he works.. Explain what you did to get your answer.       Log On


   

Question 192881: Bill is paid hourly. If he works 8 hours he will receive $50. Write an equation for his salary based on the number of hours he works.. Explain what you did to get your answer.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Let us make x= the number of hours Bill works
And, y= dollars he received for x hours he worked.

Now, if x =8, then y =50 right?

We know line Eqn is in the format, Ax + By = C (Std. Form)
Let system%28A=1%2CB=1%29

Then, %281%29x%2B%281%29y=c
But we know, x=8 when y=50. So our Line Eqn will be:

x=y plus constant=c

Either x=y%2Bc%28red%28EQN1%29%29 or vice versa y=x%2Bc%28red%28EQN2%29%29.

Substituting x=8 and y=50 we can get c: (Use red%28EQN2%29), either eqn will be the same anyway when you substitute the values.

highlight%2850%29=highlight%288%29%2Bc
50-8=c
red%2842=c%29

It follows ---> y = x + c ----> y = x + 42,or -x + y =42, Std. Form ( Answer )

As the problem says, if x = 8 hours, then y = $50.
Just by sustituting:
-highlight%288%29%2Bhighlight%2850%29=42
42=42, good.


Or seeing the graph,
----> You can see, if Bill works 8 hours, he gets $50. The intersection is on our Line Eqn -x + y = 42. Try 20 hours?

Thank you,
Jojo