Use the image to answer the question.
An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Ounces and ranges from 0 to 15 in 3 unit increments. The y-axis ranges from 0 to 153 in 9 unit increments. The graph is titled Calories per Ounce. A line connects five points plotted on the graph. The coordinates of the plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 3 comma 36 right parenthesis, left parenthesis 6 comma 72 right parenthesis, left parenthesis 9 comma 108 right parenthesis, and left parenthesis 12 comma 144 right parenthesis.
The proportional relationship between calories and ounces of soda is shown in the graph. How many calories are in 1 ounce?
(1 point)
There are ? calories in 1 ounce of soda.
The line connecting the plotted points represents the proportional relationship between calories and ounces of soda. To find the number of calories in 1 ounce, we can look at the slope of the line.
The slope of the line can be found by calculating the change in y (calories) divided by the change in x (ounces).
To go from 0 to 36 calories, the change in y is 36 - 0 = 36.
To go from 0 to 3 ounces, the change in x is 3 - 0 = 3.
Therefore, the slope of the line is 36/3 = 12.
This means that for every 1 ounce of soda, there are 12 calories.
Therefore, there are 12 calories in 1 ounce of soda.