use the given graph to answer the question

The proportional relationship between calories and ounces of soda is shown in the graph. How many calories are in 1 ounce

Given on graph:
calories: 0,56,112
Ounces: 0,4,8

1 answer

To determine how many calories are in 1 ounce of soda based on the graph, we can look at the proportional relationship provided by the given values.

From the graph, you have the following data points:

  • 0 ounces corresponds to 0 calories (0, 0)
  • 4 ounces corresponds to 56 calories (4, 56)
  • 8 ounces corresponds to 112 calories (8, 112)

To find the number of calories per ounce, we can use the relationship between ounces and calories.

From the interval between 0 and 4 ounces:

  • The increase from 0 to 4 ounces is an increase of 56 calories.

To find the number of calories per ounce: \[ \text{Calories per ounce} = \frac{56 \text{ calories}}{4 \text{ ounces}} = 14 \text{ calories per ounce}. \]

To verify this with the second interval (8 ounces):

  • The increase from 4 to 8 ounces is also an increase of 56 calories, which confirms that the calories per ounce is consistent.

Thus, there are 14 calories in 1 ounce of soda.