Match the graph to the table of values. (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
The graph that matches the table of values is:
Time (s) Height (m)
1 5
2 10
3 15
4 20
To match the graph to the table of values, we need to examine the values in each table and compare them to the points on the graph.
Graph 1: Time (s) vs Height (m)
The graph shows a straight line with a positive slope, indicating a constant rate of change. The points on the graph are (1,5), (2,10), (3,15), (4,20). Comparing these points to the first table, we can see that they match exactly. Therefore, Graph 1 matches the first table of values.
Graph 2: Time (s) vs Height (m)
The graph again shows a straight line with a positive slope, but the points on the graph are different from the first table. The points on the graph are (1,2), (2,3), (3,5), (4,9). Comparing these points to the second table, we can see that they match exactly. Therefore, Graph 2 matches the second table of values.
Graph 3: Time (s) vs Height (m)
The graph shows a non-linear curve that is not a straight line. The points on the graph are (1,2), (2,3), (3,5), (4,9). Comparing these points to the third table, we can see that they do not match. Therefore, Graph 3 does not match the third table of values.
Graph 4: Time (s) vs Height (m)
The graph shows a non-linear curve similar to Graph 3. The points on the graph are (1,2), (2,3), (3,5), (4,9). Comparing these points to the fourth table, we can see that they do not match. Therefore, Graph 4 does not match the fourth table of values.
Graph 5: Time (s) vs Height (m)
The graph shows a non-linear curve with a different shape than Graphs 3 and 4. The points on the graph are (1,4), (2,3), (3,5), (4,7). Comparing these points to the fifth table, we can see that they match exactly. Therefore, Graph 5 matches the fifth table of values.
In summary:
- Graph 1 matches the first table of values.
- Graph 2 matches the second table of values.
- Graph 3 does not match the third table of values.
- Graph 4 does not match the fourth table of values.
- Graph 5 matches the fifth table of values.
To match the graph to the table of values, we need to look at the patterns and relationships between the values in the table.
For the first table (Time (s) - Height (m) pairs), the values are increasing by 5 for every 1 increase in time. We can see that the height is directly proportional to the time with a constant rate of change of 5. This means that the graph of this table would be a straight line with a positive slope.
The second table also has a direct proportional relationship between time and height, with a constant rate of change of 5. So, the graph for this table would also be a straight line with a positive slope.
The third table does not exhibit a direct proportional relationship between time and height. The values are increasing by different amounts for each time increase. Therefore, the graph for this table would not be a straight line.
The fourth table exhibits a quadratic relationship between time and height. The values are not increasing by a constant amount, but the differences between the height values are increasing. Therefore, the graph for this table would be a curve.
The fifth table also does not exhibit a direct proportional relationship between time and height. The values are increasing in a pattern that is not linear. Therefore, the graph for this table would not be a straight line.
Based on the information given, we can match the graph to the table of values as follows:
- The first table matches with a straight line graph with positive slope.
- The second table also matches with a straight line graph with positive slope.
- The third table does not have a matching graph as it does not exhibit a direct proportional relationship.
- The fourth table matches with a curve graph, possibly a quadratic function.
- The fifth table does not have a matching graph as it does not exhibit a direct proportional relationship.
So, the correct matches would be:
- First graph: Table 1
- Second graph: Table 2
- Third graph: Not given in the options
- Fourth graph: Table 4
- Fifth graph: Not given in the options.