Question

Hi! I need some help with this question!I am pretty sure my answer is correct , but I just need to check in overall and review the question!Thank you!

Answer 1

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

Verify each table

Remember that

In a proportional relationship, the linear equation passes through the origin (0,0)

we have that

Am B and C passes through the origin

so

I will check table D

we have the points

(10,30) and (15,45)

Find the slope

m=(45-30)/(15-10)

m=15/5

m=3

Find the equation in slope intercept form

y=mx+b

we have

m=3

point (10,30)

substitute

30=3(10)+b

b=0

y=3x

Verify with this equation for the other points

For x=100

y=3(100)=300 ----> is ok

For x=200

y=3(200)=600 ----> is ok

that means

table D is proportional

Verify table C

we have

(0,0) and (1,3)

m=(3-0)/(1-0)

m=3

Find the equation in slope intercept form

y=mx+b

we have

m=3

point (0,0)

y=3x

Verify the other points

For x=2

y=2(3)=6

6 is not equal to 9

that means

table C is not proportiona

answer is C