A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour. Write and solve an equation to find the number of hours of labor spent repairing the car

Respuesta :

Answer:

( t - p ) /  85x =  h

( t - 265.95 ) /  85x  = h

648.45 - 265.95 / 85x = 3.32h

h = 3.32

Therefore ( t - p ) /  85x =  3.32

Step-by-step explanation:

648.45 - 265.95

282.50 /85

= 3.32 hrs

Finding equation to find hours can be shown as

( t - p ) /  85x =  3.32

How we found equation to find total

Parts = 19 x 14 - 5/100 = 266- 0.05

648.45 - 265.95 = 282.5

282.5/85 = 3.323  near to 3,233529

Labour = 85x  = 17 (5 + x)

Equation = 17(5+ x) + 14(19) - 5/100 = 648.45 where x = 85

Equation = ( 85x x 3  1/3) + 265 - 19/20 = t

The repair bill is an illustration of a linear equation. The equation that represents the scenario is: [tex]648.45= 265.95+ 85\times x[/tex]

And the solution (i.e. number of hours) is: 4.5 hours

Given that:

[tex]Bill = 648.45[/tex]

[tex]Parts = 265.95[/tex]

[tex]Labour = \$85[/tex] per hour

Let the number of hours spent be x

So, the equation is:

[tex]Bill = Parts + Labour \times x[/tex]

This gives;

[tex]648.45= 265.95+ 85\times x[/tex]

Collect like terms

[tex]648.45-265.95= 85\times x[/tex]

[tex]382.5= 85\times x[/tex]

Divide both sides by 85

[tex]4.5 =x[/tex]

[tex]x = 4.5[/tex]

Hence, the equation is:

[tex]648.45= 265.95+ 85\times x[/tex]

And the solution (i.e. number of hours) is: 4.5 hours

Read more about linear equations at:

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