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A construction crew is lengthening a road. The road started with a length of 56 miles, and the crew is adding 4 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D . Then use this equation to find the total length of the road after the crew has worked 36 days.

Equation: ____

Total length of the road after 36 days: ___miles

Respuesta :

Your Equation=    L=56+4(D)
L=56+4(36)
L=56+144
L=200
After working for 36 days, the total length of the road is 200 miles

Using a linear function, it is found that:

  • The equation is: L = 56 + 4D.
  • The length of the road after 36 days is of 200 miles.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, the y-intercept is of 56(initial amount), with a slope of 4(amount that changes daily), hence the function is given by:

L = 56 + 4D.

After 36 days, the length of the road is given by:

L = 56 + 4 x 36 = 200 miles.

More can be learned about linear functions at https://brainly.com/question/24808124

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