Question

Sam is rowing a boat away from a dock. the graph shows the relationship between time and Sam's distance from the dock. evaluate the function for an input of 3.

A. after 3 minutes, Sam is 3 meter from the dock.


B. after 40 minutes, Sam is 40 meters from the dock.


C. after 40 minutes, Sam is 3 meters from the dock.


D. after 3 minutes, Sam is 40 meters from the dock.

Answer 1

D. after 3 minutes, Sam is 40 meters from the dock.

Step-by-step explanation:

For an input of 3, the function will produce a value of 40. That is in 3 minutes, the boat would have covered a distance of 40meters.

We can solve this problem using the given graph.

We know that this is a distance - time graph. The slope of this graph gives the value of the speed of the boat.

• From the time - axis, mark point 3 which corresponds to the input given.
• Trace it up to the point where it coincides with the graph.
• Then find the distance axis value of the point.
• Doing this yield 40m

So, in 3 minutes, Sam will row a distance of 40m.