Susan 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 Susan has been adding money. Suppose that
x
and
y
are related by the equation
=
+
30
x
350
y
y+60
The equation given is y = 30x + 350. This equation represents the relationship between the total amount of money in the account (y) and the number of weeks Susan has been adding money (x). To understand this equation, we can break it down into its components.
The term 30x represents the amount of money Susan is adding each week. Since x represents the number of weeks, 30x gives us the total amount of money she has added to the account so far.
The term 350 represents an initial amount of money in the account. This could be money Susan already had in the account before she started adding money weekly.
By adding the two terms together, we get the equation y = 30x + 350, which shows the total amount of money in the account (y) as a function of the number of weeks (x).
To find the total amount of money in the account for a specific number of weeks, you would substitute the desired value for x into the equation and solve for y. For example, if you wanted to know how much money Susan would have in the account after 5 weeks, you would substitute x = 5 into the equation:
y = 30(5) + 350
y = 150 + 350
y = 500
Therefore, after 5 weeks, Susan would have $500 in the account.