Number Of Collage Time Spent On Homework
Courses (Hours)

1 3
2 6
3 8
4 12

Is the above relationship a linear function?

A. Yes
B. No

Question

Number Of Collage         Time Spent On Homework
       Courses                                   (Hours)

            1                                              3
            2                                              6
            3                                              8
            4                                             12

Is the above relationship a linear function?

A. Yes
B. No

ash2326 · Answer

1->2->3->4
2-1=
3-2=
4-3=

What's the result of all the subtractions?

anonymous · Answer

1

ash2326 · Answer

Now do the same with no. of hours
Find the differences?

anonymous · Answer

3
2
4

anonymous · Answer

right?

ash2326 · Answer

Correct, are all the differences same?

anonymous · Answer

no?:o

ash2326 · Answer

So, it's not linear. Third row introduces the non linearity :)

anonymous · Answer

wow, that was easy hah c:

ash2326 · Answer

I want to explain one more thing

ash2326 · Answer

If we had
            1                                              3
            2                                              6
            4                                             12

ash2326 · Answer

After finding the differences
you'd get
1, 1, 2

3, 3, 6

Now to check for linearity, see if you can get the second difference from first.

If you multiply ( 1, 1, 2) by 3 you'd get (3, 3, 6)
So it's also linear