Answer:
a)
Given the runner is jogging at a constant speed of 3.1 mph, we can construct a function representing distance by multiplying 3.1mph by t, the number of hours (I assume).
Answer: d(t) = 3.1t
or d(t) = 3.1 * t
3.1 is being multiplied by t because 3.1 mph is the speed, and t is time.
Distance = rate (which is speed) * time (t)
b)
To find the inverse, time in terms of distance, we must manipulate the equation.
d(t) will be expressed as d.
d = 3.1t
Manipulate this by dividing by 3.1 to solve for time:
Given a distance, we can now solve directly for time.
Answer: t(d) =
or t(d) = d / 3.1