Ms. Gupta challenged the students in her math class to see how many digits of pi they could memorize. This scatter plot shows how long her students spent memorizing digits and how many digits each student memorized. It also shows the line of best fit.

Question

The equation for the line of best fit is y=
1
5
x+3. According to the equation, which of these statements is true?

Answer 1

To analyze the equation of the line of best fit \(y = \frac{1}{5}x + 3\):

• \(x\) represents the amount of time spent memorizing digits (likely in minutes),
• \(y\) represents the number of digits of pi memorized.

From this equation, you can derive the following statements:

1. The slope \(\frac{1}{5}\) indicates that for each additional minute spent memorizing, students can memorize 0.2 more digits.
2. When no time is spent memorizing (i.e., \(x = 0\)), the predicted number of digits memorized is 3. This is the y-intercept of the line.
3. If a student memorizes for a significant period (e.g., 25 minutes), the expected number of digits memorized would be \(y = \frac{1}{5}(25) + 3 = 5 + 3 = 8\) digits.

If you have specific statements for evaluation based on the equation, please provide them, and I can help determine which one(s) might be true based on the information derived from the equation.