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.

1 answer

To find the number of calories in 1 ounce of soda from the graph, we can look at the coordinates of the points plotted.

We see that the coordinate points are:

  • (0, 0)
  • (3, 36)
  • (6, 72)
  • (9, 108)
  • (12, 144)

From these points, we can determine the calories per ounce.

For example, when there are 3 ounces of soda, there are 36 calories. To find the calories per ounce, we can divide the number of calories by the number of ounces:

\[ \text{Calories per ounce} = \frac{36 \text{ calories}}{3 \text{ ounces}} = 12 \text{ calories/ounce} \]

We can confirm this with a few other points:

  • For 6 ounces: \(\frac{72 \text{ calories}}{6 \text{ ounces}} = 12 \text{ calories/ounce}\)
  • For 9 ounces: \(\frac{108 \text{ calories}}{9 \text{ ounces}} = 12 \text{ calories/ounce}\)
  • For 12 ounces: \(\frac{144 \text{ calories}}{12 \text{ ounces}} = 12 \text{ calories/ounce}\)

All these yield the same result.

Thus, there are 12 calories in 1 ounce of soda.

So, the answer is: There are 12 calories in 1 ounce of soda.