Question

question 16 of 40
this graph shows the distance that a robot walks. what is the robot’s speed?
walking time and distance
text description for graph
a. 5 feet per minute
b. 10 feet per minute
c. 30 feet per minute
d. 20 feet per minute

Explanation:

Step1: Recall the formula for speed

Speed is calculated as \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \).

Step2: Identify distance and time from the graph

From the graph, when time \( t = 3 \) minutes, the distance \( d = 60 \) feet (we can also check other points, like at \( t = 1 \) minute, distance seems to be 20 feet, at \( t = 2 \) minutes, 40 feet, etc.). Let's use \( t = 3 \) minutes and \( d = 60 \) feet.

Step3: Calculate the speed

Using the formula, \( \text{Speed} = \frac{60 \text{ feet}}{3 \text{ minutes}} = 20 \) feet per minute? Wait, no, wait. Wait, looking at the graph, when time is 1 minute, distance is 20? Wait, no, let's check again. Wait, the y-axis is distance in feet, x-axis time in minutes. Let's take a point: when x=1, y=20? Wait, no, the grid: each square on y-axis, let's see, from 0 to 10, 20, 30,... So when time is 1 minute, distance is 20? Wait, no, maybe I misread. Wait, the line goes from (0,0) to, say, (3, 60)? Wait, no, let's check the options. Wait, maybe at t=1, distance is 20? Wait, no, let's recalculate. Wait, if we take t=1 minute, distance is 20 feet? Then speed is 20/1=20? But wait, let's check the options. Wait, option D is 20, but wait, maybe I made a mistake. Wait, no, let's look again. Wait, the graph: when time is 3 minutes, distance is 60? Wait, 60 divided by 3 is 20. Wait, but let's check another point. At t=2 minutes, distance is 40? 40/2=20. At t=1 minute, distance is 20? 20/1=20. So speed is 20 feet per minute? Wait, but wait, the options: D is 20. Wait, but let me check again. Wait, maybe the graph is such that at t=3, distance is 60? Wait, 60/3=20. So the speed is 20 feet per minute.

Wait, no, wait, maybe I misread the graph. Wait, the y-axis: each grid line, let's see, from 0 to 10, 20, 30, 40, 50, 60, 70, 80, 90. The x-axis: 0,1,2,3,4,5,6. The line goes from (0,0) to, say, (3, 60)? Wait, 60/3=20. So speed is 20 feet per minute. So the correct answer is D.

Wait, but let's check the options again. Option D is 20 feet per minute. So that's the answer.

Answer:

D. 20 feet per minute