Question

Which equation represents the amount of money (y) that will be in your bank account after x weeks if you withdraw 5 each week, given that your account currently has a balance of 60?

A) y = 60 - 5x
B) y = 60 + 5x
C) y = 60 - x/5
D) y = 60 + x/5

Answer 1

The equation that represents the amount of money in your bank account after x weeks, if you withdraw $5 each week from a starting balance of $60, is y = 60 - 5x.

Step-by-step explanation:

The equation that represents the amount of money (y) in your bank account after x weeks, given that you withdraw $5 each week starting with a balance of $60 is: y = 60 - 5x. This equation assumes that you are continuously withdrawing $5 from your account every week with no additional deposits.

Here's why this is the correct equation:

1. You start with $60, which is represented by 60 in the equation.
2. Each week, you withdraw $5, meaning that the amount withdrawn grows linearly with the number of weeks x. The $5 times the number of weeks is represented by 5x.
3. Since you are withdrawing (subtracting) money, you use a minus sign to represent this in the equation, hence -5x.
4. Putting it all together, after x weeks the total amount you will have is the initial $60 minus the total amount withdrawn over x weeks, which is 60 - 5x.