Proportions: Graphs, Tables, and X-Multiplication

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

Answer explanation

12 * x=12x

10 * 15 = 150

12x = 150

/12. /12

x= 12.5

Tags

CCSS.5.NF.B.5B

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

Answer explanation

Yes-each x is multiplied by 1/4 to get the y.

k=1/4

Tags

CCSS.7.RP.A.2A

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.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 the answer to y.

Tags

CCSS.7.RP.A.2B

Answer explanation

21 * x= 21x

7 * 9=63

21x=63

/21. /21

x=3

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

Answer explanation

9 * x =9x

5 * 18=90

9x=90

/9. /9

x=10

Tags

CCSS.7.RP.A.3

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

Answer explanation

Yes-each x is multiplied by 1/8 to get the y.

k=1/8

Tags

CCSS.7.RP.A.2D

Answer explanation

15 * 4=60

3 * 12=36

They do not match. Not proportional.

Tags

CCSS.7.RP.A.2B