Question

Dan 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 Dan has been adding money. Suppose that x and y are related by the equation 20x + 450 = y. What does x represent?

1) The total amount of money in the account
2) The number of weeks Dan has been adding money
3) The interest rate of the checking account
4) The amount of money Dan withdraws from the account each week

Answer 1

The number of weeks Dan has been adding money.

Step-by-step explanation:

In the given equation, 20x + 450 = y, x represents the number of weeks Dan has been adding money into the checking account. Therefore, the correct answer is option 2) The number of weeks Dan has been adding money.

Answer 2

In the equation 20x + 450 = y, 'x' represents the 'number of weeks Dan has been adding money' to his checking account. Option 2 is the correct answer.

Step-by-step explanation:

In the scenario described, the equation 20x + 450 = y represents the relationship between the total amount of money in Dan's checking account (denoted as y) and the number of weeks he has been adding money to the account (denoted as x). To discern what x represents in this situation, let's analyze the equation in detail.

The term 20x indicates a repeated or ongoing action, with the coefficient 20 representing the amount of money added each week. The constant value of 450 could be interpreted as an initial deposit made into the account when the account was first opened.

Since y stands for the total money in the account and it is being calculated based on the number of weeks and the constant initial deposit, x corresponds to the number of weeks. Therefore, x is not related to the total money directly, the interest rate, or the money withdrawn, but specifically to the number of weeks Dan has been adding money to the account.

With this in mind, the correct option is:

2) The number of weeks Dan has been adding money