Superlesson
Project 5-2
Algebra
Chapter 5
Analyzing Linear Functions
and Their Graphs
Health and fitness are important ideas for all of us to consider. Using the information from this superlesson and data from the World Wide Web, you can calculate personal fitness statistics.
Part A, Slope and Location of Lines
1. Browse through Focus on Your Family's Health Web site for information about cardiovascular exercise.
a. Calculate your maximum heart rate according to the steps provided.
b. Find your resting heart rate.
c. If you were to exercise for 5 minutes to achieve your maximum heart rate, graph a line showing your starting heart rate and your heart rate after 5 minutes. Assume that your heart rate would increase linearly over the 5-minute period.
d. Find the slope of the line containing the points that represent your resting heart rate and your maximum heart rate after exercising for 5 minutes.
e. Where does your graph cross the y-axis?
Part B, Two-Point Equation of a Line
2. Target heart rates show exercisers what they should try to maintain as they exercise.
a. Calculate your target zone for beginner level and intermediate level.
b. If you were to exercise for 5 minutes to achieve your target heart rate, write an equation of that line in slope-intercept form. That line should contain your resting heart rate as well as your heart rate target zone minimum value.
Part C, Slope and Dimensional Analysis
3. Use the information from 2 to complete the following.
a. Re-graph your line three times using different scales on the vertical axis but keeping the size of your graph paper the same.
b. What can you conclude about the slope of the three lines?
Part D, Scatter Plots and Trend Lines
4. Survey twenty people of different ages and have them calculate their resting heart rate.
a. Graph the survey information using age on the horizontal axis and heart rate on the vertical axis. (A graphing calculator may be used.)
b. Draw in the trend line or line of best fit.
c. Write the equation of your line of best fit.
Part E, Making Connections
5. Graphing allows you to combine your data.
a. Calculate your resting heart rate and your target heart rate zone.
b. After doing some mild stretches, walk briskly for at least 20 minutes. Take your pulse every 3-5 minutes during exercise to make sure you are in your target zone. Record this information.
c. Record your heart rate during your cool down activities and then again 10 minutes after cool-down.
d. Graph your heart rate information using time on the horizontal axis and heart rate on the vertical axis.
e. Write an equation of the line indicating that your heart rate is decreasing during cool down.
f. If you were to exercise 3-5 times per week, how do you think your graph would change? Predict how your graph from part e might change.