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

Answer:

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

Step-by-step 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.