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 Blank
calories in 1 ounce of soda.

1 answer

To determine how many calories are in 1 ounce of soda based on the points provided on the graph, we can look at the coordinates of the plotted points.

From the points given:

  • (0, 0): 0 ounces corresponds to 0 calories
  • (3, 36): 3 ounces corresponds to 36 calories
  • (6, 72): 6 ounces corresponds to 72 calories
  • (9, 108): 9 ounces corresponds to 108 calories
  • (12, 144): 12 ounces corresponds to 144 calories

We can calculate the number of calories per ounce by choosing one of these points. For instance, using the point (3, 36):

To find the calories per ounce: \[ \text{Calories per ounce} = \frac{36 \text{ calories}}{3 \text{ ounces}} = 12 \text{ calories per ounce} \]

This is confirmed by checking other points:

  • For (6, 72): \[ \frac{72}{6} = 12 \text{ calories per ounce} \]
  • For (9, 108): \[ \frac{108}{9} = 12 \text{ calories per ounce} \]
  • For (12, 144): \[ \frac{144}{12} = 12 \text{ calories per ounce} \]

Thus, the relationship is consistent across all points.

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