Question

3) Fred wrote notes during an examination. The table below shows number of pages written in relation to the time it took to make the notes (in hours). Does the table represent a proportional relationship? Notes (pages) Time (In Hours) 16 8. 9 18 10 20 23 11

Answer 1

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form

y=kx

where

k is the constant of proportionality

Let

x ------> notes (pages)

y -----> times

Find tyhe value of k for each ordered pair

so

For x=8, y=16 ------> k=16/8=2

For x=9, y=18 -------> k=18/9=2

For x=10, y=20 -----> k=20/10=2

For x=11, y=23-----> k=23/11=2.09

that means

the value of k is not the same for all ordered pairs

so

Ist not a proportional relationship