The graph shows that the amount of water in a person's body varies directly with the person's mass. What is the ratio of the vertical distance to the horizontal distance on the graph between the points (15, 10) and (30, 20) ?

A. 10/15 or 2/3<<<
B. 5/10 or 1/2
C. 10/15 or 3/2
D. 5/10 or 2

looks good

What the answer

What is the answer

To find the ratio of the vertical distance to the horizontal distance on the graph between the points (15, 10) and (30, 20), we need to calculate the difference in the y-values (vertical distance) and the difference in the x-values (horizontal distance) and then calculate the ratio between them.

1. Calculate the vertical distance between the two points:
Vertical distance = y-coordinate of the second point - y-coordinate of the first point
Vertical distance = 20 - 10 = 10

2. Calculate the horizontal distance between the two points:
Horizontal distance = x-coordinate of the second point - x-coordinate of the first point
Horizontal distance = 30 - 15 = 15

3. Calculate the ratio of the vertical distance to the horizontal distance:
Ratio = Vertical distance / Horizontal distance
Ratio = 10 / 15 = 2/3

Therefore, the ratio of the vertical distance to the horizontal distance on the graph between the points (15, 10) and (30, 20) is 2/3. Thus, the correct answer is A. 10/15 or 2/3.