Question

11. Draw a graph for the following table. Is it a linear graph?
x
3
4
5 6
7
y
12
16
20
24
28​

Answer 1

Answer:

From the table, we found that as x increases, y also increases. Thus, the variation is a direct variation

Let y=kx

⇒ xy=k

where k is the constant of proportionality

From the given values, we have

k=28=312=....=1040, ∵ k=4

The relation y=4x forms a straight line graph.

Plot the points (2,8),(3,12),(5,20),(8,32) and (10,40) and join these points to get the straight line

Clearly, y=4x=16 when x=4.

Step-by-step explanation:

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