Question

A construction crew is lengthening a road. Let y represent the total length of the road (in miles). Let & represent the number of days the crew has worked.Suppose that & and y are related by the equation 59 +2x =v.Answer the questions below.Note that a change can be an increase or a decrease.For an increase, use a positive number. For a decrease, use a negative number.-Questions included in picture-

Answer 1

A line equation can be written in slope-intercept form, which is:

`y=mx+b`

where m represents the slope and b represents the y-intercept.

The slope indicates the rate of change(if positive the function value increases as the x value increases, if negative the function value decreases as the x value increases), and the y-intercept represents the point where the line cuts the y-axis.

In our problem, we have the line:

`y=2x+59`

The slope of this line is 2, therefore, the road is increasing at a rate of 2 miles/day.

The y-intercept represents the day the construction started. The length of the road when the crew started working was 59 miles.