Proportions Tables and Graphs

Is this line proportional? If not, why? If yes, what is the constant?

Answer explanation

The line goes through (0,0), so it might be.

Find 2 points. I choose (1,4) and (-1, -4).

The constant is y over x, or y/x. So, using one set of coordinates, if this is a constant it would be 4/1, or 4.

I used that 4 to see if it works with the other set of coordinates.

-1 * -4=4

Yes, it worked with the other set coordinates.

k=4

Tags

CCSS.7.RP.A.2D

Is this line proportional? If not, why? If yes, what is the constant?

Answer explanation

This line does not go through (0,0). It is not proportional.

Tags

CCSS.8.EE.B.5

Is this line proportional? If not, why? If yes, what is the constant?

Answer explanation

The line goes through (0,0), so it might be.

Find 2 points. I choose (1,2) and (2, 4).

The constant is y over x, or y/x. So, using one set of coordinates, if this is a constant it would be 2/1, or 2.

I used that 4 to see if it works with the other set of coordinates.

2 * 2=4

Yes, it worked with the other set coordinates.

k=2

Tags

CCSS.7.RP.A.2D

Is this table proportional? If yes, what is the constant? If no, why not?

Answer explanation

No. Each x has a different number to multiply, to get each y.

Tags

CCSS.7.RP.A.2B

Is this line proportional? If not, why? If yes, what is the constant?

Answer explanation

The line goes through (0,0), so it might be.

Find 2 points. I choose (-5, -3) and (5, 3).

The constant is y over x, or y/x. So, using one set of coordinates, if this is a constant it would be 3/5.

I used that 4 to see if it works with the other set of coordinates.

-5 * (5/3) =3

Yes, it worked with the other set coordinates.

k=5/3

Tags

CCSS.7.RP.A.2D

Is this table proportional? If yes, what is the constant? If no, why not?

Answer explanation

Yes, every x can be multiplied by 1, to get the y.

k=1

Tags

CCSS.7.RP.A.2B

Is this line proportional? If not, why? If yes, what is the constant?

Answer explanation

All proportional lines must go through (0,0). This does not, so the line is not a proportion.

Tags

CCSS.7.RP.A.2D

Are these proportional? Use cross multiplication to prove/not prove, and show the work

Answer explanation

15 * 4=60

3 * 12=36

They do not match. Not proportional.

Tags

CCSS.7.RP.A.2C

Are these proportional? Use cross multiplication to prove/not prove, and show the work

Answer explanation

2 * 3 =6

1 * 8 =8

They do not match. Not proportional

Tags

CCSS.7.RP.A.2C

Are these proportional? Use cross multiplication to prove/not prove, and show the work

Answer explanation

3 * 16=48

12* 5=60

They do not match. Not proportional.

Tags

CCSS.7.RP.A.2C