D'Andre's savings increase steadily by $20 each month, starting from $0. The graph's origin (0, 0) for D'Andre signifies he had no savings initially. Michelle, on the other hand, starts with $25 and saves $25 each month, resulting in a steeper slope. D'Andre's initial savings point is (1, $20), while Michelle's is (1, $50).
Scaling and Interpretation:
X-axis (Months): The scale should be 1 unit per month, starting from 1. The origin (0, 0) is not applicable for D'Andre's account as he started with $0 and didn't save anything in the first month.
Y-axis (Amount Saved): The scale should be $20 per unit, starting from $0. The origin (0, 0) represents the starting point for D'Andre, where he had $0 saved in the first month.
Comparison of Characteristics:
a. Slope:
D'Andre's account has a constant slope of $20 per month since he saves the same amount each month.
Michelle's account also has a constant slope, but it's steeper at $25 per month.
b. Y-Intercept:
D'Andre's account starts at the point (1, $20), indicating he saved $20 in the first month.
Michelle's account starts at the point (1, $50), as she had $25 already deposited on September 1st.