Diane is putting money into a checking account. Let represent the total amount of money in the account (in dollars). Let represent the number of weeks Diane has been adding money. Suppose that x and y are related by the equation 30x+450=y .
Answer the questions below.
What is thechange in the amount of money in the account?
What was the starting amount of money in the account?
From the equation I can tell that Diane
started with $450 , (x=0)
and her account increased by $30 per week
145
To find the change in the amount of money in the account, we can subtract the starting amount from the total amount.
The equation 30x + 450 = y represents the relationship between the number of weeks (x) and the total amount of money in the account (y). The coefficient of x, which is 30, represents the rate at which money is being added per week.
If we want to find the change in the amount of money each week, we can look at the coefficient of x, which is 30. Therefore, the change in the amount of money in the account each week is $30.
To find the starting amount of money in the account, we can substitute x = 0 into the equation 30x + 450 = y.
30(0) + 450 = y
0 + 450 = y
y = 450
Therefore, the starting amount of money in the account is $450.
To find the change in the amount of money in the account, we need to determine the difference between the final amount of money and the starting amount of money.
In the given equation, 30x + 450 = y, x represents the number of weeks Diane has been adding money, and y represents the total amount of money in the account.
The coefficient of x in the equation (30) represents the rate at which money is being added to the account per week. So, the change in the amount of money in the account is 30 (the coefficient of x).
To find the starting amount of money in the account, we need to determine the value of y when x is equal to zero. If we substitute x = 0 into the equation, we get:
30(0) + 450 = y
0 + 450 = y
y = 450
Therefore, the starting amount of money in the account is $450.