Question

the point (3, 6/5) lies ln the graph representing a proportional relationship. Which of the following points also lie on the same graph? select all that apply. A. (1, 0.4) B. (1.5, 6/10) C. (6/5, 3) D. (4, 11/5). E. (15, 6).

Answer 1

A B and E all fall on the line expressed.

Answer 2

A, B, and D.

Explanation:

According to the problem, the point (3, 6/5) represents a proportional relationship. To find the ratio of such proportion, we just need to divide the vertical coordinate by the horizontal coordinate as follows

`r=(y)/(x)=((6)/(5) )/(3)=(6)/(15)=0.4`

The ratio of the proportion is 0.4. Now, we just need to find which point has the same ratio.

A.

`r=(0.4)/(1)=0.4`

This means that point A lies on the graph because it has the same ratio.

B.

`r=((6)/(10) )/(1.5)=(0.6)/(1.5)=0.4`

Point B also lies on the graph.

C.

`r=(3)/((6)/(5) )=(15)/(6)=2.5`

Point C doesn't lie on the graph because it doesn't have the same ratio.

D.

`r=(6)/(15)=0.4`

Point D lies in the graph.

Therefore, all points that also lie on the same graph are A, B and D, because all of them are in the same proportion.