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A contractor's total earnings from a job include a fixed amount plus an amount based on the number of hours worked. The values in the table represent the linear relationship between the number of hours worked and the contractor's total earnings in dollars. What is the rate of change of the contractor's total earnings in dollars with respect to the number of hours worked? A) $8.75 per hour worked B) $9.25 per hour worked C) $10.00 per hour worked D) $20.00 per hour worked Elimin

Sagot :

AdyTalbertidn

Answer: A) $8.75 per hour worked

Step-by-step explanation: I took A test had the same question and got it right I don't know algebra well ima good at rigging the system for answers for other people lol.

AshishdwivedilVTidn

The rate of change of the contractor's total earnings in dollars with respect to the number of hours worked is $8.75 per hour.

it is clear from the diagram attached that

fixed amount = $20

earning after he works for 5 hours A= $63.75

earning after he works for 15 hours B= $151.25

earning after he works for 25 hours C= $238.75

B-A = 87.5

C-B = 87.5

It means there is a linear relationship between the amount and working hours.

equation of this linear relationship can be found by a straight line equation

what is the equation of a straight line?

equation of a straight line is

[tex]y =mx+c[/tex]

where m is the slope.

c is the intercept.

so,

[tex]y = \frac{63.75-20}{5-0} x + c\\\\y = \frac{43.75}{5} x+ c\\\\y = 8.75x+c[/tex]

'c' can be found by satisfying any point on the graph

let us say x=0 y=20

c = 20

equation will be:

[tex]y=8.75x + 20[/tex]

rate of change

[tex]\frac{dy}{dx} = 8.75[/tex].

therefore, the rate of change of the contractor's total earnings in dollars with respect to the number of hours worked is $8.75 per hour.

to get more about straight-line refer to:

https://brainly.com/question/4192088

View image AshishdwivedilVT
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