Question

From an elevation of 0.5 m below the surface of the water, a swimmer dives at a rate of 0.25 m/s. What is the function rule for the swimmer's depth, d, and time, t?

Answer 1

We are given

Depth belwo the surface of the water = 0.5m

Rate of the swimmer = 0.25m/s

We want to find the function rule for the swimmer's depth at any time t

Solution

Let d denotes the function rule

Initially, d(0) = 0.5m

`d(t)=0.5+\text{0}.25t`

Thus, the function rule is d(t) = 0.5 + 0.25t