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) ?
Change in vertical distance = 20-10 = 10
change in horizontal distance = ....
now form the ratio:
change in vertical distance : change in horizontal distance
=
To find the ratio of the vertical distance to the horizontal distance on the graph between the points (15, 10) and (30, 20), we first need to calculate the vertical distance and the horizontal distance.
The vertical distance is the difference between the y-coordinate of the two points: 20 - 10 = 10.
The horizontal distance is the difference between the x-coordinate of the two points: 30 - 15 = 15.
Therefore, the ratio of the vertical distance to the horizontal distance is: 10/15, which simplifies to 2/3.
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 change in y-axis (vertical distance) divided by the change in x-axis (horizontal distance) between these two points.
Step 1: Calculate the change in y-axis
The change in y-axis is given by subtracting the y-coordinate of the first point from the y-coordinate of the second point:
Change in y-axis = 20 - 10 = 10
Step 2: Calculate the change in x-axis
The change in x-axis is given by subtracting the x-coordinate of the first point from the x-coordinate of the second point:
Change in x-axis = 30 - 15 = 15
Step 3: Calculate the ratio
The ratio of the vertical distance to the horizontal distance is given by dividing the change in y-axis by the change in x-axis:
Ratio = Change in y-axis / Change in x-axis = 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.