Multiple Choice
Match the graph to the table of values.
The first quadrant of a coordinate plane is shown with four plotted points. The x-axis is titled 'Time in seconds,' and the y-axis is titled 'Height in meters.' The four points start in the lower left corner of the first quadrant and follow a linear pattern with a positive slope.
(1 point)
Responses
Time (s) Height (m)
1
5
2
10
3
15
4
20
Time (s) Height (m) 1 5 2 10 3 15 4 20
Time (s) Height (m)
1
2
2
3
3
5
4
9
Time (s) Height (m) 1 2 2 3 3 5 4 9
Time (s) Height (m)
1
4
2
3
3
5
4
7
Time (s) Height (m) 1 4 2 3 3 5 4 7
How are the variables related on the graph?
A first quadrant graph is shown with the x-axis labeled 'Speed' and the y-axis labeled 'Height.' There is a ray drawn from the origin towards the upper right corner of the first quadrant.
(1 point)
Responses
As speed decreases, height stays constant.
As speed decreases, height stays constant.
As speed decreases, height increases.
As speed decreases, height increases.
As speed increases, height decreases.
As speed increases, height decreases.
As speed increases, height increases.
As speed increases, height increases.
To match the graph to the table of values, we need to find the graph that represents a linear pattern with a positive slope.
Let's analyze the given table of values:
Time (s) | Height (m)
1 | 5
2 | 10
3 | 15
4 | 20
From the table, we can observe that the height increases by 5 meters for every 1-second increase in time. This linear pattern with a positive slope suggests that the graph will be a straight line ascending from left to right.
Now, let's analyze the options:
Option 1:
Time (s) | Height (m)
1 | 5
2 | 10
3 | 15
4 | 20
Option 2:
Time (s) | Height (m)
1 | 2
2 | 3
3 | 5
4 | 9
Option 3:
Time (s) | Height (m)
1 | 4
2 | 3
3 | 5
4 | 7
Comparing these options to our table, we can clearly see that Option 1 matches the given table of values, as it represents a linear pattern with a positive slope that matches the height values at each time point.
Therefore, the correct answer is:
Time (s) | Height (m)
1 | 5
2 | 10
3 | 15
4 | 20
Option 1