To complete the response to your question regarding the origin in the context of Sarah saving money for a used car, it's important to understand what the origin (0,0) represents on the graph.
In this scenario:
- The x-axis represents the number of weeks (w).
- The y-axis represents the amount of money saved (m(w)) in dollars.
Therefore, at the origin (0,0):
"For this context, the origin means at 0 weeks, Sarah has saved $0."
This indicates that when no time has passed (0 weeks), Sarah has not saved any money.