Question

For each of the following tables of data, determine whether the data is linear, quadratic or neither. Please explain. Thank you!

Answer 1

2.1204-1.5203 = 0.6001
2.9574-2.1204 = 0.837
4.1248-2.9574 = 1.1674
5.7531-4.1248 = 1.6283

Answer 2

4.454-2.342 = 2.112
6.566-4.454 = 2.112
8.678-6.566 = 2.112
10.790-8.678 = 2.112

Answer 3

3.128-1.232 = 1.896
5.888-3.128 = 2.76
9.512-5.888 = 3.624
14.0-9.512 = 4.488

Answer 4

How do I know if its linear, quadratic or neither, I think I did the work right?

Answer 5

I think the second one is linear?

Answer 6

I was thinking along the same lines as you... tbh Im not too sure about this one either :/

Answer 7

I think I got it the second one is linear because the y differences equal and the third one is quadratic because the 2nd differences equal. I have not checked the first one yet.

Answer 8

The first one looks like neither linear nor quadratic.

Answer 9

Linear is when the difference between the points are all the same.
Quadratic is when the difference between the points are increasing or deceasing each time.
Neither is when it increases slower or decreases slower each time.

Answer 10

For me number one is quadratic.

Answer 11

Quadratic equation consist of parabola

The slopes increase in a parabola.

Answer 12

Just like the slopes of number one.

Answer 13

Linear is y=mx+b
Let m be 5 and b be 2
(0,2) (1,7) (2,12)
The difference is 5 for each one.

Answer 14

Nice job attempting it though.

Answer 15

Thank you!

I turned in the assignment and going from top to bottom:

1. Neither
2. Linear
3. Quadratic

Answer 16

Does it have to be one of each?

Answer 17

For number 1 if you subtract the seconds you get different results:

2.1204-1.5203 = 0.6001
2.9574-2.1204 = 0.837
4.1248-2.9574 = 1.1674
5.7531-4.1248 = 1.6283

0.837-0.6001= 0.2369
1.1674-0.837=0.3304
1.16283-1.1674=0.4609

All different means its neither.

For number 2 all the y's are the same:

4.454-2.342 = 2.112
6.566-4.454 = 2.112
8.678-6.566 = 2.112
10.790-8.678 = 2.112

Making it linear.

For number 3 if you subtract the 2nds you get 18.4 for all of them:

3.128-1.232 = 1.896
5.888-3.128 = 2.76
9.512-5.888 = 3.624
14.0-9.512 = 4.488

4.488-3.624 = 18.4
3.624-2.76 = 18.4
2.76-1.896 = 18.4

2nds all the same mean its quadratic.

Answer 18

4.488-3.624 = 18.4
3.624-2.76 = 18.4
2.76-1.896 = 18.4
Its 0.864

Answer 19

Yes you are correct.
Sorry for mentioning the wrong one on number one.

Answer 20

I didnt calculate the change of slope because I didnt have a calculator with me.
1. somewhat looks quadratic without a calculator lol.

Answer 21

No problem thanks for your time and help.

Thank you for catching me on that mistake, the answer was 18.4 was for a question and I got mixed up on all the work I did on paper:

Consider the quadratic function f(x)=2.3x^2+5.2x-6.7 with the input values x = 2, 4, 6, 8 and 10 and I had to determine the constant value of the second differences and it was 18.4

Answer 22

I am just a little tired I guess lol, have a great night :)