Question

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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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2 answers

To determine how many calories are in 1 ounce of soda based on the provided points, we can look at the coordinates given, especially the first two:

  • (0, 0) indicates that at 0 ounces, there are 0 calories.
  • (3, 36) indicates that at 3 ounces, there are 36 calories.

To find the number of calories per ounce, we calculate the slope of the line or find the rate of change between these two points.

For the points (3, 36):

  1. Calculate calories per ounce: \[ \frac{36 \text{ calories}}{3 \text{ ounces}} = 12 \text{ calories per ounce} \]

This result checks out with the other given points:

  • At 6 ounces: \(6 \times 12 = 72\) calories
  • At 9 ounces: \(9 \times 12 = 108\) calories
  • At 12 ounces: \(12 \times 12 = 144\) calories

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

12 calories.

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