Problem

Topic1 Review Question 6 of 6 (1 point) 1 Question Attempt: 1 of 1 Time Remaining: 4838 $=1$ $=2 \quad=3$ $=4$ $=5$ 6 Raina 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 Raina has been adding money. Suppose that $x$ and $y$ are related by the equation $y=50 x+450$. 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 was the starting amount of money in the account? What is the change per week in the amount of money in the account?

Solution

Step 1 :The equation given is in the form of a linear equation y = mx + c, where m is the slope of the line (representing the change per week in the amount of money in the account) and c is the y-intercept (representing the starting amount of money in the account).

Step 2 :From the equation, we can see that the starting amount of money in the account is \(\boxed{450}\) and the change per week in the amount of money in the account is \(\boxed{50}\).

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