SOLUTION: 1. Below two situations are described in words. In each case, decide whether the situation could be represented by a one-to-one function. If so, then write a statement that best de
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-> SOLUTION: 1. Below two situations are described in words. In each case, decide whether the situation could be represented by a one-to-one function. If so, then write a statement that best de
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Question 1191135: 1. Below two situations are described in words. In each case, decide whether the situation could be represented by a one-to-one function. If so, then write a statement that best describes the inverse function. If not, explain why.
a) The function that pairs the number of days since your birth with your age in years.
b) The function that pairs the speed of your car in miles per hour with the speed in kilometers per hour. Answer by CPhill(1959) (Show Source):
You can put this solution on YOUR website! **a) Number of days since your birth paired with your age in years:**
This situation *can* be represented by a one-to-one function. Each number of days since your birth corresponds to exactly one age in years, and each age in years (within the range of a human lifespan) corresponds to exactly one number of days since your birth.
* **Inverse Function Description:** The inverse function would pair your age in years with the number of days since your birth.
**b) Speed of your car in miles per hour paired with the speed in kilometers per hour:**
This situation *can* be represented by a one-to-one function. There's a direct conversion between miles per hour and kilometers per hour (approximately 1 mile per hour = 1.609 kilometers per hour). Every speed in miles per hour corresponds to one and only one speed in kilometers per hour, and vice-versa.
* **Inverse Function Description:** The inverse function would pair the speed of your car in kilometers per hour with the speed in miles per hour.
