Carly's savings over time is an example of linear change because she receives a consistent, fixed amount of money ($275) each week. This means that her savings increase at a constant rate over time, creating a straight line when graphed with time on the x-axis and total savings on the y-axis. The relationship can be described with a linear equation, where the total savings is directly proportional to the number of weeks she babysits. As a result, her total savings can be represented by the equation \( S(t) = 275t \), where \( S \) is the savings and \( t \) is the number of weeks. Therefore, the consistent weekly earnings lead to a predictable and uniform increase in her total savings, which exemplifies linear change.
Carly receives $275 every week for babysitting for her neighbors. She decides to save the money she receives to help pay for a camp she wants to attend next summer. She tracks how much money she saves from babysitting over the course of the year.
Explain why Carly’s savings over time is an example of linear change. (1 pts)
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