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

Answer:

A, B, and D.

Step-by-step 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

$r=\frac{y}{x}=\frac{\frac{6}{5} }{3}=\frac{6}{15}=0.4$

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

A.

$r=\frac{0.4}{1}=0.4$

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

B.

$r=\frac{\frac{6}{10} }{1.5}=\frac{0.6}{1.5}=0.4$

Point B also lies on the graph.

C.

$r=\frac{3}{\frac{6}{5} }=\frac{15}{6}=2.5$

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

D.

$r=\frac{6}{15}=0.4$

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.