Question

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.
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1 answer

To find out how many calories are in 1 ounce of soda from the given information, we can look at the coordinates provided in the graph and derive the proportionality.

The points listed from the graph are:

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

From the point (3, 36), we can determine how many calories correspond to each ounce:

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

Thus, the number of calories in 1 ounce of soda is:

There are 12 calories in 1 ounce of soda.