A construction crew is lengthening a road. Let y represent the total length of the road (in miles). Let x represent the number of days the crew has worked. Suppose that x and y are related by the equation y= 2x + 57.

A construction crew is lengthening a road Let y represent the total length of the road in miles Let x represent the number of days the crew has worked Suppose t class=

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Solution

We are given the equation

[tex]y=2x+57[/tex]

(a)

The change per day in the road length is simply the slope of the above line

Therefore, the answer is

[tex]2[/tex]

(b)

To find the length of the road when the crew started working is simply the intercept

Therefore, the answer is 57