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=(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=(9.42-6.28)/(3-2) \\ m=(3.14)/(1) \\ m=3.14 \end{gathered}`

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

`\begin{gathered} (6.28)/(2)=3.14 \\ (9.42)/(3)=3.14 \\ \\ (15.7)/(5)=3.14 \end{gathered}`

so the correct constant of proportionality is 3.14