Carly receives $50 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.
A. Explain why Carly's savings over time is an example of linear change.
B. Create a sequence that describes Carly's growing savings each week over the course of 8 weeks.
A. Carly's savings over time is an example of linear change because she receives a fixed amount of $50 every week. This means that her savings increase by a constant rate of $50 each week. There is a direct proportionality between the amount of time (weeks) and the amount of money saved.
B. The sequence describing Carly's growing savings over the course of 8 weeks would be:
$50, $100, $150, $200, $250, $300, $350, $400