Answer:
Let the distance x, and the time t
So, x = mt + c
Where m is the slope or rate of change and c is constant
Suppose the particle start traveling from the rest at t = 0
So, c = 0
∴ x = mt
Rises 4 feet in 9 seconds.
so, rate of change = distance per time = x/t = (4/9) (feet/seconds)
∴ m = 4/9
∴ x = (4/9) t
So, the relationship between time and the distance traveled
⇒ x = (4/9) t
See the attached figure which represents the graph of the equation.
