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19 September, 19:27

6. The recommended heart rate for weight management exercise and improming/

cardio fitness, in beats per minute, depends on a person's age and can be

represented by the expression 0.7 (220 - a).

Part A: What does the variable in the expression represent?

Part B: Rewrite the expression using the Distributive Property.

Part C: What is the recommended heart rate for a 20-year-old person

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Answers (1)
  1. 19 September, 19:46
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    Answer: Part A = Age, Part B = 154 - 0.7a, Part C = 140 beats per minute (BPM)

    Step-by-step explanation: The question states " ... in beats per minute, depends on a person's age and can be represented ... " and the variable is a, so a is age. To rewrite an expression, you need to multiply the number outside the parentheses with the terms inside the parentheses. In this case 0.7 * 220, which is 154 and 0.7 * a which is 0.7a. So the expression rewritten is 154 - 0.7a. In order to solve question C you need to plug in the variable. So 0.7 (220 - 20) or 154 - 0.7 * 20, whichever is easier. After solving, your answer will be 140 beats per minute.
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