Final answer:
To represent Bertha's savings as a linear function graph, start with a point at the origin to demonstrate no starting funds. Then, place points incrementally up and to the right for each deposit, showing consistent savings over time resulting in an upward-sloping straight line.
Step-by-step explanation:
The question asks us to think about a linear function that might represent Bertha's savings over time as she deposits the same amount of money into her account every week. A linear function graph would start at the origin (0,0) because Bertha is starting with no money in her account.
Each week, as she deposits money, the amount in her account will increase at a constant rate. On a graph, this is represented by a straight line that slopes upwards, moving from left (week zero) to right (subsequent weeks) as time progresses, and upwards as the deposits accumulate.
Graphing a Linear Function
Since Bertha's deposit is consistent, the slope of the line will be constant, meaning the line does not curve or change direction. The first point should be at the origin, and the second point should be placed above the first along the y-axis at a value that corresponds to the weekly deposit amount multiplied by the number of weeks from the origin.
This is because as Bertha makes consistent deposits, the total in her account will be the sum of all the weekly deposits.