Question

Pls help answer all parts with detailed explanations

Answer 1

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:

`(d)/(3.1) = t`

Given a distance, we can now solve directly for time.

Answer: t(d) =
`(d)/(3.1)`

or t(d) = d / 3.1