A graph of the two (2) points (-0.5, 0) and (9, 0) that represent the distance which this object would travel in different amounts of time at that rate is shown in the image attached below.
How to write a linear function for the distance and time?
Mathematically, a linear function is sometimes referred to as the slope-intercept form of a straight line and it can be modeled (represented) by this mathematical expression;
d = mt + b
Where:
- d represents the distance.
- t represents the rate of change (slope).
- b represents the y-intercept.
Therefore, the required linear function that relates the distance (d) and speed (s) at time (t) seconds is given by this mathematical expression;
d(t) = 18t + 9
For instance when time (t) = -0.5 seconds, the distance traveled by this object placed on a conveyor belt is given by;
d(t) = 18t + 9
d(-0.5) = 18(-0.5) + 9
d(-0.5) = -9 + 9
d(-0.5) = 0 feet.
Learn more about distance here: brainly.com/question/14009257
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