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A construction crew is lengthening a road. The road started with a length of 53 miles, and the crew is adding 2 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 39 days.Equation: Total length of the road after 39 days

Question

A construction crew is lengthening a road. The road started with a length of 53 miles, and the crew is adding 2 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 39 days.Equation: Total length of the road after 39 days

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Solution

The equation relating L (total length of the road) to D (number of days the crew has worked) can be written as:

L = 53 + 2D

This equation represents the initial length of the road (53 miles) plus the length added each day (2 miles) times the number of days the crew has worked (D).

To find the total length of the road after the crew has worked 39 days, substitute D = 39 into the equation:

L = 53 + 2(39)

Solving this gives:

L = 53 + 78 = 131 miles

So, the total length of the road after the crew has worked 39 days is 131 miles.

This problem has been solved

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