Question

Is the function in the table linear or nonlinear and why?

x y
0 −100
1 −50
2 0
3 100
4 150


The function is linear because the x values increase by a constant number.

The function is not linear because the rate of change is not constant.

The function is not linear because there are negative values in the y values.

The function is linear because the y values are multiples of 50.

Answer 1

Well, I am here.



What do you think?
Any ideas?

Answer 2

I think it's maybe the last option

Answer 3

why???
Can you tell me the reason for that choice?

Answer 4

the options for y are multiples of 50

Answer 5

How is that ?

Could you provide one point or two of that?

Answer 6

on the multiples chart it lists 50, 100, 150, 200 as multiples of 50, is that not right?

Answer 7

for the second point for ex: is (-100) is a multiples of 50 of (1)?

Answer 8

no

Answer 9

so it's not option 4

Answer 10

Yes, it is not!

search for another correct choice, and it is wrong to check all choices to be sure when you select the right one!

Answer 11

could it possibly be option 3 ?

Answer 12

"The function is not linear because there are negative values in the y values"
what is the wrong with that y have negative values??

https://www.desmos.com/calculator/uze7giqqpr
it is still a linear relation!

Answer 13

oh ok

Answer 14

maybe option 1 then?

Answer 15

"The function is linear because the x values increase by a constant number" and what is that constant number?

Answer 16

1

Answer 17

You mean that you multiplies x by 1 to get y each time?

Answer 18

yeah the x values go up by one number each time

Answer 19

and the y values go up by how many number each time???

"\(\color{red}{The~ function}\)(means y value, not x) is linear because the x values increase by a constant number."

Answer 20

50

Answer 21

YES...You are Awesome!
that is what I mean....
\[\Huge\color{lime}\checkmark\]

Answer 22

but is that matches for the rest of the points?