Question

javier opens a savings account with a starting balance of $200 and plans to deposit $75 each week after opening the account and savings over time is represented by the graph below how would the graph change if javier open his account with a starting balance of $300 instead

Answer 1

The starting value on the y-axis would be at the point (0,300) instead of (0,200).

Explanation:

Javier's savings account represents a linear equation, where $200 represents his initial value, or y-intercept, and $75 represents the slope, or rate of change. Since Javier is adding an additional $75 per week, the linear equation is increasing at a steady rate. If he were to start with $300 instead of $200, his initial value would change, however, he would still increase his overall amount by the same rate each week, or $75.

Answer 2

If Javier starts with a higher initial balance of $300, the initial point on his savings graph would be higher by $100, and all subsequent points would reflect this initial increase, though the slope of the graph would remain unchanged.

If Javier opens a savings account with a starting balance of $300 instead of $200 and then deposits $75 each week, the graph representing his savings over time would change in the following way:

The initial point on the graph, representing the starting balance, would be higher.

This is because the starting balance would be $300 instead of $200.

After this initial change, the slope of the graph, representing the weekly deposits of $75, would remain the same.

However, every point on the graph after the initial deposit would be $100 higher than it was before because each point on the savings graph accumulates the effects of the higher starting balance.