Deciding Whether a Function Is Increasing, Decreasing, or Constant
Studies from the early 2010s indicated that teens sent about 60 texts a day, while more recent data indicates much higher messaging rates among all users, particularly considering the various apps with which people can communicate.. For each of the following scenarios, find the linear function that describes the relationship between the input value and the output value. Then, determine whether the graph of the function is increasing, decreasing, or constant.
ⓐThe total number of texts a teen sends is considered a function of time in days. The input is the number of days, and output is the total number of texts sent.
ⓑA person has a limit of 500 texts per month in their data plan. The input is the number of days, and output is the total number of texts remaining for the month.
ⓒA person has an unlimited number of texts in their data plan for a cost of $50 per month. The input is the number of days, and output is the total cost of texting each month.
OpenStax, Algebra and Trigonometry 2e · §4.1 Linear Functions · Example 2
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