Michael is training for a 5-kilometer race. The table displays his 5-kilometer running times after the given number of weeks of training. x (Weeks) y (Times in Minutes) 1 30.41 2 29.30 3 28.50 4 27.70 5 27.00 6 26.20 If the y-intercept of the line of best fit is (0,31.06), which interpretation of the y-intercept is accurate? (1 point) Responses Michael decreased his time by 31 minutes. Michael decreased his time by 31 minutes. When Michael started training, he was running 5 kilometers in approximately 31 minutes. When Michael started training, he was running 5 kilometers in approximately 31 minutes. When Michael started training, he was running 1 mile in approximately 31 minutes. When Michael started training, he was running 1 mile in approximately 31 minutes. After Michael completed 6 weeks of training, he was running 5 kilometers in approximately 31 minutes. After Michael completed 6 weeks of training, he was running 5 kilometers in approximately 31 minutes.

1 answer

The correct interpretation of the y-intercept (0, 31.06) in this context is:

When Michael started training, he was running 5 kilometers in approximately 31 minutes.

The y-intercept represents the predicted time for running 5 kilometers (in minutes) at week 0 (before training starts). The other options do not correctly interpret the meaning of the y-intercept in the context of Michael's 5-kilometer training.