Question

Which statement correctly interprets the slope?
This picture is a scatter plot which visually represents data relating the Number of People (on the x-axis) to the Time on Tightrope (min) (on the y-axis).

📊 Key Features of the Plot
X-axis (Horizontal): Labeled "Number of People," starting at 0 and going up to at least 20, with major grid lines every 2 units.

Y-axis (Vertical): Labeled "Time on Tightrope (min)," starting at 0 and going up to 45, with major grid lines every 5 units.

Data Points: There are six blue dots plotted on the graph, each representing a pair of (Number of People, Time on Tightrope).

📈 Approximate Data Points
By reading the coordinates of the dots, we can estimate the following data points:

(1,≈7.5): 1 person corresponds to about 7.5 minutes.

(3,15): 3 people correspond to 15 minutes.

(7,20): 7 people correspond to 20 minutes.

(7,23): 7 people correspond to 23 minutes.

(9,25): 9 people correspond to 25 minutes.

(14,32): 14 people correspond to 32 minutes.

(18,39): 18 people correspond to 39 minutes.

🧐 Trend
The data points generally show a positive correlation, meaning that as the Number of People increases, the Time on Tightrope (min) also tends to increase. The relationship appears somewhat linear, although there are a couple of points with the same number of people (7) but different times (20 and 23 minutes).

Would you like me to analyze the correlation more formally or find the equation for a line of best fit?
(1 point)
Responses

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 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 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 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

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

Reason: a best-fit slope is about 1.7–1.8 minutes per person (≈9/5 = 1.8), so time increases roughly 9 minutes for every 5 additional people.