Looking at the graph, we can analyze that the y-axis represents the "Percentage Remaining," which goes from 0 to 100, and the x-axis represents "Minutes," which goes from 0 to 50.

Range:

The range of a function refers to all the possible values of the dependent variable (y-values). In this case:

• The y-values represent the percentage remaining during the workout.
• The graph shows the percentage starts at 100% and decreases linearly until it reaches 0% at 50 minutes.
• Therefore, the possible y-values are between 0 and 100, inclusive of both endpoints.

Now, reviewing the choices:

1. All real numbers greater than 0 and less than 100: This excludes 0 and 100, so it's not correct.
2. All real numbers greater than or equal to 0 and less than or equal to 100: This includes both endpoints, which is correct.
3. All real numbers greater than or equal to 0 and less than or equal to 50: This restricts the range to 50, which is incorrect because the range goes up to 100.
4. All real numbers greater than 0 and less than 50: This is incorrect because it restricts the range to between 0 and 50.

Correct Answer:

All real numbers greater than or equal to 0 and less than or equal to 100.

Would you like further explanation or details? Here are some related questions to think about:

1. How is the domain of the graph different from the range?
2. Can you determine the slope of the line from the graph?
3. What does the slope represent in the context of this workout?
4. If the workout duration was extended to 60 minutes, how would the graph change?
5. What real-life situations could have a similar graph?

Tip: The range deals with the y-values, while the domain deals with the x-values. Always check what each axis represents!