The equation d=4-1/15t represents your distance from home, d, for each minute you walk, t. if you graphed this equation, determine the meaning of the slope in the situation

the slope is -1/15 and it means that the distance from home decreases 1/15 units per minute of walk, which indicates the your are going home.

Explanation:

The equation d = 4 - (1/5)t has these features:

it is a linear (first degree) equation/d is the dependent variable, distance from home.t is the independent variable, minutes of walk4 is the constant term and it is the value of d when t = 0, which means that it is the vertical axis intercept and represents the initial distance from home.- ( 1/15) is the coefficient of the independent variable, it is the slope of the equation, and means the rate of change of the distance per minute of walk.this slope, since it is negative, means that the distance decreases as times goes on. It means that each minute of walk the distance decreases 1/15 unit.you can find when the distance is zero, by doing the variable d = 0:

         d = 0 = 4 - (1/15)t ⇒ t = 4×15 = 60 min.

The given equation, d = 4 - (1/5)t is a linear equation, whose y-intercept form is y = mx + b.

m is the slope, therefore it is - 1/15.4 is the y-intercept, therefore it is 4.

The domain of the function is the interval [0, 60], meaning that those are the minutes of the walk.

The range of the function is the interval [4, 0] meaning that the distance goes from 4 to 0 units.

You have plenty information to do the graph:

label the horizontal axis t in minutesdo marks at 0, 5, 10, 15, 20, 25, .... up to 60 on the horizontal axislable the vertical axis ddo marks at 4, 3, 2, 1, on the vertical axisdraw the points (0, 4) and (60,0)draw a segment joining those two points.

You can see the graph in the image attached.