Recommended Maximum Heart Rate Formula Adjustment Analysis

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The recommended maximum heart rate formula has been updated from 220 - age to 208 * (0.7 * age). This alteration results in a slight decrease in maximum heart rate for young individuals and a slight increase for older individuals. We aim to determine the age at which the new formula causes an increase in the recommended maximum heart rate. By applying mathematical techniques, we can analyze the impact of this formula modification on different age groups.


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  1. Mathematics Unit 46: Heartbeat What do we want to find out? For health reasons people should limit their efforts, for instance during sports, in order not to exceed a certain heartbeat frequency. For years the relationship between a person s recommended maximum heart rate and the person s age was described by the following formula: Recommended maximum heart rate = 220 age Recent research showed that this formula should be modified slightly. The new formula is as follows: Recommended maximum heart rate = 208 (0.7 x age) What do we want to find out? What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? What have we learned? What have we learned? QUESTION 46.1 A newspaper article stated: A result of using the new formula instead of the old one is that the recommended maximum number of heartbeats per minute for young people decreases slightly and for old people it increases slightly. From which age onwards does the recommended maximum heart rate increase as a result of the introduction of the new formula? Show your work.

  2. Mathematics Unit 46: Heartbeat What do we want to find out? For health reasons people should limit their efforts, for instance during sports, in order not to exceed a certain heartbeat frequency. For years the relationship between a person s recommended maximum heart rate and the person s age was described by the following formula: Recommended maximum heart rate = 220 age Recent research showed that this formula should be modified slightly. The new formula is as follows: Recommended maximum heart rate = 208 (0.7 x age) What do we want to find out? What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? What have we learned? What have we learned? QUESTION 46.1 A newspaper article stated: A result of using the new formula instead of the old one is that the recommended maximum number of heartbeats per minute for young people decreases slightly and for old people it increases slightly. From which age onwards does the recommended maximum heart rate increase as a result of the introduction of the new formula? Show your work. Back to start Back to start

  3. Mathematics Unit 46: Heartbeat What do we want to find out? For health reasons people should limit their efforts, for instance during sports, in order not to exceed a certain heartbeat frequency. For years the relationship between a person s recommended maximum heart rate and the person s age was described by the following formula: Recommended maximum heart rate = 220 age Recent research showed that this formula should be modified slightly. The new formula is as follows: Recommended maximum heart rate = 208 (0.7 x age) What do we want to find out? What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? What have we learned? What have we learned? QUESTION 46.1 A newspaper article stated: A result of using the new formula instead of the old one is that the recommended maximum number of heartbeats per minute for young people decreases slightly and for old people it increases slightly. From which age onwards does the recommended maximum heart rate increase as a result of the introduction of the new formula? Show your work. Back to start Back to start

  4. Mathematics Unit 46: Heartbeat What do we want to find out? For health reasons people should limit their efforts, for instance during sports, in order not to exceed a certain heartbeat frequency. For years the relationship between a person s recommended maximum heart rate and the person s age was described by the following formula: Recommended maximum heart rate = 220 age Recent research showed that this formula should be modified slightly. The new formula is as follows: Recommended maximum heart rate = 208 (0.7 x age) What do we want to find out? What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? What have we learned? What have we learned? QUESTION 46.1 A newspaper article stated: A result of using the new formula instead of the old one is that the recommended maximum number of heartbeats per minute for young people decreases slightly and for old people it increases slightly. From which age onwards does the recommended maximum heart rate increase as a result of the introduction of the new formula? Show your work. Back to start Back to start

  5. Mathematics Unit 46: Heartbeat What do we want to find out? For health reasons people should limit their efforts, for instance during sports, in order not to exceed a certain heartbeat frequency. For years the relationship between a person s recommended maximum heart rate and the person s age was described by the following formula: Recommended maximum heart rate = 220 age Recent research showed that this formula should be modified slightly. The new formula is as follows: Recommended maximum heart rate = 208 (0.7 x age) What do we want to find out? What useful information do we know? What useful information do we know? What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? What have we learned? What have we learned? QUESTION 46.1 A newspaper article stated: A result of using the new formula instead of the old one is that the recommended maximum number of heartbeats per minute for young people decreases slightly and for old people it increases slightly. From which age onwards does the recommended maximum heart rate increase as a result of the introduction of the new formula? Show your work. Back to start Back to start

  6. Mathematics Unit 46: Heartbeat What do we want to find out? QUESTION 46.2 The formula What do we want to find out? What useful information do we know? What useful information do we know? Recommended maximum heart rate = 208 (0.7 x age) What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? is also used to determine when physical training is most effective. Research has shown that physical training is most effective when the heartbeat is at 80% of the recommended maximum heart rate. What have we learned? What have we learned? Write down a formula for calculating the heart rate for most effective physical training, expressed in terms of age.

  7. Mathematics Unit 46: Heartbeat What do we want to find out? QUESTION 46.2 The formula What do we want to find out? What useful information do we know? What useful information do we know? Recommended maximum heart rate = 208 (0.7 x age) What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? is also used to determine when physical training is most effective. Research has shown that physical training is most effective when the heartbeat is at 80% of the recommended maximum heart rate. What have we learned? What have we learned? Write down a formula for calculating the heart rate for most effective physical training, expressed in terms of age. Back to start Back to start

  8. Mathematics Unit 46: Heartbeat What do we want to find out? QUESTION 46.2 The formula What do we want to find out? What useful information do we know? What useful information do we know? Recommended maximum heart rate = 208 (0.7 x age) What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? is also used to determine when physical training is most effective. Research has shown that physical training is most effective when the heartbeat is at 80% of the recommended maximum heart rate. What have we learned? What have we learned? Write down a formula for calculating the heart rate for most effective physical training, expressed in terms of age. Back to start Back to start

  9. Mathematics Unit 46: Heartbeat What do we want to find out? QUESTION 46.2 The formula What do we want to find out? What useful information do we know? What useful information do we know? Recommended maximum heart rate = 208 (0.7 x age) What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? is also used to determine when physical training is most effective. Research has shown that physical training is most effective when the heartbeat is at 80% of the recommended maximum heart rate. What have we learned? What have we learned? Write down a formula for calculating the heart rate for most effective physical training, expressed in terms of age. Back to start Back to start

  10. Mathematics Unit 46: Heartbeat What do we want to find out? QUESTION 46.2 The formula What do we want to find out? What useful information do we know? What useful information do we know? Recommended maximum heart rate = 208 (0.7 x age) What other mathematical techniques do we need to apply? What other mathematical techniques do we need to apply? is also used to determine when physical training is most effective. Research has shown that physical training is most effective when the heartbeat is at 80% of the recommended maximum heart rate. What have we learned? What have we learned? Write down a formula for calculating the heart rate for most effective physical training, expressed in terms of age. Back to start Back to start

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