Doctors recommend that most people exercise for [math]30[/math] minutes every day to stay healthy. To get the best results, a person’s heart rate while exercising should reach between [math]50[/math]% and [math]75[/math]% of his or her maximum heart rate, which is usually found by subtracting your age from [math]220[/math]. The peak rate should occur at around the 25th minute of exercise. Alice is [math]30[/math] years old, and her maximum heart rate is [math]190[/math] beats per minute (bpm). Assume that her resting rate is [math]60[/math] bpm. The table at the bottom right shows Alice’s heart rate as it is measured every [math]5[/math] minutes for [math]30[/math] minutes while she exercises. Interpret the model.
Make a scatter plot of the data. Use a graphing calculator to find a quadratic regression model for the data. Use your model to extrapolate Alice’s heart rate after [math]35[/math] minutes of exercise.
