Mathematical Modeling Questions for Secondary School Curriculum | Page 18

The ship & the islands

Author : Mihaela Git
A ship must arrive from one island to another in t = 3 hours . It travels at speeds of v = 45 km / h and owing to a storm outages d 0
= 6km . Knowing that the movement of the ship represents a function with the correspondence law f ( v )= vt + d0 .
Calculate : a ) What is the distance between islands ?
b ) What distance would be between the islands if the boat would have to travel at 48 km / h ?
c ) What minimum speed could the ship have if the islands were 150km away ? d ) Represent the plot of the function in the coordinate system .
Related Topics and Concepts : speed , distance Real Life Context : economy