Question

A cruise ship is currently 20 kilometers away from its port and is traveling away from the port at 5 kilometers per hour . The function is y=5x +20 relates the number of kilometers y the ship will be from its port x hours from now. How far will the cruise ship be from its port 3.5 hours from now

Answer 1

The ship will be
`37.5\ km` far from its port 3.5 hours from now

Explanation:

Hi

The function is
`y=5x +20` relates the number of kilometers y the ship will be from its port x hours from now, it has a form
`y=vt+y_(0) \ where \ y\ is\ final\ distance\\v\ is\ velocity\ in\ km/h,\ t\ is\ time\\and\ y_(0)\ is\ initial\ distance`.

As the function is clearly defined, we only have to evaluate it for
`x=3.5`, so
`y(3.5)=5(3.5)+20=17.5+20=37.5 \ km` is the distance between the cruise ship and its port after 3.5 hours.