Elsa is putting money into a checking account. Let $y$ represent the total amount of money in the account (in dollars). Let $x$ represent the number of weeks Elsa has been adding money. Suppose that $x$ and $y$ are related by the equation $350+50 x=y$.
Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.
What is the change per week in the amount of money in the account?
What was the starting amount of money in the account?
Answer
Final Answer: The change per week in the amount of money in the account is \(\boxed{50}\) dollars. The starting amount of money in the account was \(\boxed{350}\) dollars.
Step 1 ：Let's denote the total amount of money in the account (in dollars) as \(y\) and the number of weeks Elsa has been adding money as \(x\). They are related by the equation \(350+50 x=y\).
Step 2 ：This equation is in the form of a linear equation \(y = mx + c\), where \(m\) is the slope of the line (which represents the rate of change per week), and \(c\) is the y-intercept (which represents the starting amount of money in the account).
Step 3 ：We can directly read off the values from the equation. The change per week in the amount of money in the account is \(50\), and the starting amount of money in the account is \(350\).
Step 4 ：Final Answer: The change per week in the amount of money in the account is \(\boxed{50}\) dollars. The starting amount of money in the account was \(\boxed{350}\) dollars.
