Question

d 2 6.28 3 9.42 5 15.7 What is the constant of proportionality? Type your answer below as a number texample: 5.3.1. + H2. or 3/2):

Answer 1

Ok,we can calculate the constant of proportionality as the slope of a line

with this equation

$m=\frac{y2-y1}{x2-x1}$

where (x2,y2) is a point to the right compared to (x1, y1)

for this case I will choose the points (2,6.28) and (3,9.42)

where (3,9.42) is (x2,y2)

$\begin{gathered} m=\frac{9.42-6.28}{3-2} \\ m=\frac{3.14}{1} \\ m=3.14 \end{gathered}$

if we want a more exact number we can divide one number by another

$\begin{gathered} \frac{6.28}{2}=3.14 \\ \frac{9.42}{3}=3.14 \\ \\ \frac{15.7}{5}=3.14 \end{gathered}$

so the correct constant of proportionality is 3.14