Question
The students at Oak Hill Middle School ran laps around the gym and then recorded their heart rates. This scatter plot shows the data for some of the students along with the line of best fit. Students running laps The equation for the line of best fit is y=5x+85 According to the equation, which of these statements is true? A student who has not run any laps would likely have a heart rate of about 85 beats per minute. A student who has run 5 laps would likely have a heart rate of about 90 beats per minute.
Answer
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Kendra
Professional · Tutor for 6 years
Answer
A student who has not run any laps would likely have a heart rate of about 85 beats per minute.
Explanation
The equation of the line of best fit given is
. In this equation, the number in front of 'x', 5, represents the slope of the line or the rate at which the heart rate increases per lap run by a student. So, for every lap run, a student's heart rate would likely increase by about 5 beats per minute. Mention '85' on the other side of the equation denotes the y-intercept, which is the expected heart rate when no laps have been run (when x = 0). Thus, considering these points, it can be understood: if a student who has not yet run any laps, the equation suggests their heart rate would be about 85 beats per minute. Meanwhile, if a student has run 5 laps, their heart rate would be approximately 5 * 5 + 85 = 110 beats per minute not 90.