5. the graph shows the balance in mindys savings account based on the number of weeks since mindy stopped…
5. the graph shows the balance in mindys savings account based on the number of weeks since mindy stopped making deposits into the account. which of the following is not a true statement? mindys account balance was $450 when she stopped making deposits the situation can be represented by the equation y = 450 - 50x mindys account decreased by $100/week
Answer
Explanation:
Step1: Analyze initial - balance
When $x = 0$ (the moment she stopped making deposits), from the graph, $y=450$. So Mindy's account balance was $450 when she stopped making deposits.
Step2: Find the linear - equation
The slope - intercept form of a line is $y=mx + b$, where $b$ is the y - intercept and $m$ is the slope. The y - intercept $b = 450$. The slope $m=\frac{\Delta y}{\Delta x}=\frac{450 - 0}{0 - 9}=- 50$. So the equation is $y = 450-50x$.
Step3: Calculate the rate of change
The slope of the line represents the rate of change of the account balance per week. The slope $m=-50$, which means the account balance decreases by $50 per week.
Answer:
Mindy's account decreased by $100/week.