Question

#3 Determine the constant of proportionality of the graph 4

Answer 1

20

Explanation

Step 1

choose two points from the line

$\begin{gathered} P1(0,0) \\ \text{and} \\ P2(2,40) \end{gathered}$

Step 2

the constant of proportionality is given by

$\begin{gathered} C=\frac{f(b)-f(a)}{b-a} \\ C=\frac{y_{p2}-y_{p1}}{x_{p2}-x_{p1}} \\ \text{replace} \\ C=\frac{40-0}{2-0} \\ C=\frac{40}{2} \\ C=20 \end{gathered}$

so, the answer is 20