Question

se 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.

Answer 1

you sure

Answer 2

To find the number of calories in 1 ounce of soda, we can look at the coordinates given in the problem.

The points show a proportional relationship between ounces and calories. From the points plotted, we see:

- At 3 ounces, there are 36 calories.
- At 6 ounces, there are 72 calories.
- At 9 ounces, there are 108 calories.
- At 12 ounces, there are 144 calories.

We can find the number of calories per ounce by determining the relationship. For instance, for 3 ounces:

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

We can verify this with another point, say for 6 ounces:

\[
\text{Calories per ounce} = \frac{72 \text{ calories}}{6 \text{ ounces}} = 12 \text{ calories per ounce}
\]

And for 9 ounces:

\[
\text{Calories per ounce} = \frac{108 \text{ calories}}{9 \text{ ounces}} = 12 \text{ calories per ounce}
\]

And for 12 ounces:

\[
\text{Calories per ounce} = \frac{144 \text{ calories}}{12 \text{ ounces}} = 12 \text{ calories per ounce}
\]

In each case, it consistently shows that there are 12 calories in 1 ounce of soda.

Therefore, the final answer is:

There are **12** calories in 1 ounce of soda.

Answer 3

Yes, I am confident in that answer.

Based on the points provided in the graph:

- At 3 ounces, there are 36 calories, which gives us 12 calories per ounce.
- At 6 ounces, there are 72 calories, which again gives us 12 calories per ounce.
- At 9 ounces, there are 108 calories, still confirming 12 calories per ounce.
- At 12 ounces, there are 144 calories, reaffirming the same result.

Since the relationship appears to be linear and consistent throughout the points, we conclude that there are indeed **12** calories in 1 ounce of soda.