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.

Question

y-intercept at 20 & continually increasing at 20 meters ever 3 minutes

Group of answer choices

After 3 minutes, Sam is 3 meters from the dock.

After 3 minutes, Sam is 40 meters from the dock.

After 40 minutes, Sam is 3 meters from the dock.

Answer 1

To evaluate the function that describes Sam's distance from the dock after 3 minutes, we can use the information provided:

1. The y-intercept is at 20 meters, meaning that at time 0 (when Sam starts rowing), he is 20 meters away from the dock.
2. The distance increases by 20 meters every 3 minutes.

Given this information, we can calculate Sam's distance from the dock after 3 minutes:

• At time 0 minutes, Sam's distance is 20 meters.
• After 3 minutes, since the distance increases by 20 meters in that time, we add 20 meters to his initial distance:

\[ \text{Distance after 3 minutes} = 20 \text{ meters} + 20 \text{ meters} = 40 \text{ meters} \]

So, the correct answer is:

After 3 minutes, Sam is 40 meters from the dock.