More time you spend on phone, less time the battery last. Again amount of water needed is directly proportional to weather. More water is needed, to drink, in hot weather, as compare to cold weather. Again probability of success is directly proportional to hard work done. There are many activities, in our life, which can be proving as examples of linear functions in our life.
1. Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear.
3. Which of the following are functions Explain your reasoning for a, b, and c. Keep the definition of a function strongly in mind as you do this problem, it is not nearly as difficult as it may look. Think about whether the relationship between f(x) and x is consistent with being a function or not and explain your reasoning.
Time taken by a person is function of speed of driving. How much you increase your driving speed, you take less time to cover the required distance. Now distance between your home and work place is constant provided you use same path for driving daily. So speed of driving is the one of major factor to decide time required to reach to the work.