Question

Which statement correctly interprets the slope?

(1 point)
Responses

The time on the tightrope goes up about 9 minutes for every 5 people.
The time on the tightrope goes up about 9 minutes for every 5 people.

The time on the tightrope goes up about 5 minutes for every 9 people.
The time on the tightrope goes up about 5 minutes for every 9 people.

The time on the tightrope goes up by about 2 people per minute.
The time on the tightrope goes up by about 2 people per minute.

The time on the tightrope goes up about 1 minute for every 1 person.
The time on the tightrope goes up about 1 minute for every 1 person.
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Answer 1

To correctly interpret the slope, we need to understand the relationship between the two variables involved. Typically, in a graph where one variable is plotted against another, the slope indicates how much the dependent variable (in this case, time on the tightrope) increases or decreases for a unit change in the independent variable (in this case, the number of people).

Without specific values or a visual of the graph, I can only help interpret the statements based on logic.

- **The time on the tightrope goes up about 9 minutes for every 5 people.** (This indicates a positive slope.)
- **The time on the tightrope goes up about 5 minutes for every 9 people.** (This indicates a less steep positive slope.)
- **The time on the tightrope goes up by about 2 people per minute.** (This behaves oddly as it suggests time increases while people should rather be a constant influence; it might be wrong.)
- **The time on the tightrope goes up about 1 minute for every 1 person.** (This suggests a direct, linear relationship between the two variables.)

To choose the correct interpretation of the slope, consider the phrasing of the options and what kind of relationship they imply. If it feels like "time increases with more people", then either of the first two might be correct, depending on the context, while the other statements may be incorrect.

If you provide the data or more context (like a graph or the specific relationship being analyzed), I can help identify the true correct statement.