13
QuizMultiple Choice

Graphing Polynomial Functions — Unit test

Question 13 • FL-1200330-Algebra 2 CR

Regular exercise can help a person lower their resting heart rate. Suppose an individual’s resting heart rate, in beats per minute, is modeled by the function f(x) = –0.1x 3 + 0.6x 2 + 85 after x weeks of regular exercise.How many weeks of exercise are necessary to lower the individual’s resting heart rate below 70 beats per minute?

Answer
A
7 weeks
B
8 weeks
C
9 weeks
D
10 weeks

Explanation

Substitute the number of weeks into f(x) = −0.1x³ + 0.6x² + 85. At 8 weeks, the model gives 72.2 beats per minute, which is still above 70; at 9 weeks, it gives 60.7 beats per minute. Therefore, 9 weeks are necessary to bring the modeled resting heart rate below 70 beats per minute.

AI-written and checked against the verified answer.

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