Question

Sam is rowing a boat away from a dock. The graph shows the relationshipbetween time and Sam's distance from the dock. Evaluate the function for aninput of 6.A. After 60 minutes, Sam is 6 meters from the dock B. After 6 minutes, Sam is 6 meters from the dock C. After 60 minutes Sam is 60 meters from the dock D. After 6 minutes Sam is 60 meters from the dock

Answer 1

We are given a graph between the time and distance from the dock.

First, let us find the function to model this relationship then we can evaluate the function for an

input of 6.

The general form of a straight line function is given by

$y=mx+b$

Where y is the distance in meters, x is the time in minutes, m is the slope and b is the y-intercept.

The slope is given by

$slope=m=\frac{\text{rise}}{\text{run}}$