Math Problem Statement

Solution

To solve this problem, we need to evaluate the graph and the function it represents for an input of 3 minutes.

  1. Understanding the Graph: The graph shows the relationship between time (in minutes) and distance from the dock (in meters). The time is on the horizontal axis, and the distance is on the vertical axis.

  2. Evaluating the Function at 3 Minutes: Locate the point on the graph where the time is 3 minutes (this is on the x-axis). Then, trace upwards to the corresponding distance on the y-axis.

From the image, when t=3t = 3 minutes, the graph shows that the distance from the dock is 30 meters.

Answer: The correct answer is C. After 3 minutes, Sam is 30 meters from the dock.


Do you want more details or have any questions?
Here are five related questions to expand your understanding:

  1. What is the slope of the line representing Sam's distance from the dock?
  2. How far would Sam be from the dock after 6 minutes?
  3. How can we write the equation of the line represented in the graph?
  4. If Sam continues rowing at the same rate, what will his distance from the dock be after 10 minutes?
  5. How would the graph change if Sam started closer to the dock?

Tip: To find the distance at any given time using a graph, always locate the time on the x-axis and trace up to find the corresponding y-value.