Graphing Linear Equations Unit Test

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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.

1 answer

To find the number of calories in 1 ounce of soda, we can look at the relationship shown in the graph, specifically the points plotted.

From the points given on the graph:

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

We can determine the number of calories per ounce by examining the change in calories with respect to the change in ounces.

From the point (3, 36), we see that 3 ounces corresponds to 36 calories. To find the calories per ounce, we can divide the calories by the ounces:

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

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