Create a table of values from the graph. Then find the value of y when x=20. Use pencil and paper. Find three more pairs of values. Then write a situation you could model using this graph.
x y
2 1.75
3 2.5
5 4
6 4.75
when x=20 the value of y is blank
To find the value of y when x = 20, we need to examine the given pairs of values from the table or use the graph. Unfortunately, there aren't enough values provided to create a reliable graph. However, we can make some reasonable estimations based on the pattern observed.
From the given pairs of values:
When x = 2, y = 1.75
When x = 3, y = 2.5
When x = 5, y = 4
When x = 6, y = 4.75
We can notice that as x increases by 1, y generally increases by 0.75.
Therefore, when x = 20, we can estimate that y will be approximately 4.75 + (0.75 * (20 - 6)).
Calculating this expression:
y = 4.75 + (0.75 * (20 - 6))
y = 4.75 + (0.75 * 14)
y = 4.75 + 10.5
y ≈ 15.25
So, when x = 20, y will be approximately 15.25.
Three more pairs of values can be estimated using the pattern observed:
When x = 7, y ≈ 5.5
When x = 8, y ≈ 6.25
When x = 9, y ≈ 7
Situation that could be modeled using this graph: The graph represents the relationship between the number of hours a student spends studying (x) and the corresponding grade they achieve on a test (y). The pattern indicates that as the number of hours spent studying increases, the test grades generally increase as well. The student might want to determine the impact of study time on test performance based on this relationship.