3. A runner's speed is given by the function s(h) = 2vh and the associated time is given by the function t(h) =3v4h. What distance did the runner

travel?

d(h)=12h

d(h)= 12

d(h)=3

d(h)=hv3

1 answer

The distance traveled by the runner is given by the formula:

d(h) = s(h) × t(h)

Substitute the given functions for s(h) and t(h):

d(h) = 2vh × 3v4h
d(h) = 6v^2h × 3v^4h
d(h) = 18v^6h^2

So, the distance traveled by the runner is 18v^6h^2.
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