Answer:
The constant of variation is $1.50
Step-by-step explanation:
Given
Point 1 (1,2)
Point 2 (5,8)
Required
Constant of Variation
Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.
Having said that,
the constant variation can be solved by calculating the gradient of the graph;
The gradient is often represented by m and is calculated as thus
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1, y_1) = (1,2)\\(x_2, y_2) = (5,8)[/tex]
By substituting values for x1,x2,y1 and y2; the gradient becomes
[tex]m = \frac{8 - 2}{5 - 1}[/tex]
[tex]m = \frac{6}{4}[/tex]
[tex]m = \frac{3}{2}[/tex]
[tex]m = 1.50[/tex]
Hence, the constant of variation is $1.50
