Question

Scott works on cars. He charges a $75 repair fee plus $10 per hour. If Dave was charged $100 by Scott to work on his car, then 1) write an equation that represents the hours, h, Scott worked on his car. How many hours did Scott work on Dave's car?

Answer 1

equation: y= 10x + 75

Hours (x)= 2.5 hours

Explanation:

y= 10x + 75

100 = 10x + 75

-75 -75

25 = 10x

/10 /10

x = 2.5

Answer 2

1). Inequality: 10h + 75 = 100.

2). Scott worked on his car for 2.5 hours.

Show Work:

Finding out The Inequality -

Sign: = (Equal Sign)

Variable: h (h for hours)

Coefficient: $10 per hour

Constant: $75 repair fee

Total: $100 was charged

Inequality: 10h +75 = 100

Figuring out the Inequality

10h +75 = 100

-75 - 75

0 25

10/10 = 1 25/10 = 2.5

h = 2.5

Explain:

With the Inequality I made with the Key concepts of the Word problem, I Started to answer the Question. First, I Subtracted 75 from 100 and 75, so I can see the Amount of Money Dave owes Scott without the Repair fee. 75 - 75 = 0, so I crossed it out, and 100 - 75 = 25. Then I bought the 10h down, so I could Divide it so I can get the Variable and the Answer together. So Because 10 was being Multiplied to the Variable h, I Had to do the opposite, so I divided 10÷10, and 25÷10. 10÷10 = 1, so I crossed it out, and 25÷10 = 2.5. So Scott worked on Dave's car for 2 and a half hours.