Normal
Mr. Reynolds goes for a morning walk. The graph below shows the relationship between how many minutes he has walked, x, and the distance in feet he has walked, y.
The graph has numbers from 0 to 20 in increments of 4 on the x-axis and from 0 to 5,000 in increments of 500 on the y-axis. A straight line starts from (0, 0) and passes through (4, 1,000), (8, 2,000), (12, 3,000), (16, 4,000), and (20, 5,000).
What is the meaning of the point on the graph?
A.
It means that Mr. Reynolds walks 8 miles in 2,000 minutes.
B.
It means that Mr. Reynolds walks 2,000 feet in 8 minutes.
C.
It means that Mr. Reynolds walks 2,000 feet per minute for 8 minutes.
D.
It means that Mr. Reynolds walks 8 feet in 2,000 minutes.
The correct answer is B. It means that Mr. Reynolds walks 2,000 feet in 8 minutes. This can be determined by using the slope formula which is:
slope = (change in y) / (change in x)
In this graph, the slope is constant and equal to:
slope = (5,000 - 0) / (20 - 0) = 250 feet per minute
Therefore, for every minute Mr. Reynolds walks, he covers 250 feet.
To find how many feet he covers in 8 minutes, we multiply the slope by 8:
8 minutes * 250 feet per minute = 2,000 feet
So the point (8, 2,000) on the graph represents Mr. Reynolds walking 2,000 feet in 8 minutes.
To find the meaning of the point (8, 2000) on the graph, we need to look at the relationship between the x-axis (representing minutes walked) and the y-axis (representing distance in feet).
Looking at the graph, we can see that the line starts from (0, 0) and passes through several points: (4, 1000), (8, 2000), (12, 3000), (16, 4000), and (20, 5000). This means that Mr. Reynolds walked for 4 minutes and covered a distance of 1000 feet, then walked for 8 minutes and covered a distance of 2000 feet, and so on.
Based on this information, the correct answer is option B. It means that Mr. Reynolds walks 2000 feet in 8 minutes.
To determine the meaning of the given point on the graph, we need to identify the corresponding values of x and y.
From the graph, we can see that the point (x, y) is given as (8, 2,000).
Based on the x and y values, we can determine that:
- x represents the number of minutes Mr. Reynolds has walked (in this case, 8 minutes).
- y represents the distance in feet Mr. Reynolds has walked (in this case, 2,000 feet).
From the answer choices, option B states that Mr. Reynolds walks 2,000 feet in 8 minutes, which matches the values given by the point on the graph.
Therefore, the correct answer is B. It means that Mr. Reynolds walks 2,000 feet in 8 minutes.