Tammy 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 Tammy has been adding money. Suppose that x and y are related by the equation 550+20x = y. 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.

Answer 1

Sure! Let's analyze the equation \( y = 550 + 20x \) where:

• \( y \) is the total amount of money in the account (in dollars),
• \( x \) is the number of weeks Tammy has been adding money.

Now, let's answer some questions related to this equation.

1. What is the initial amount of money in the account?

   • When \( x = 0 \) (i.e., at the start), the equation becomes \( y = 550 + 20(0) = 550 \). Therefore, the initial amount in the account is $550.

2. How much money does Tammy add to the account each week?

   • The term \( 20x \) indicates that Tammy adds $20 each week.

3. If Tammy adds money for 5 weeks, what will the total amount in the account be?

   • Substitute \( x = 5 \) into the equation: \[ y = 550 + 20(5) = 550 + 100 = 650. \]
   • So, after 5 weeks, the total amount in the account will be $650.

4. If she continues adding money for 10 weeks, how much will she have added in total?

   • Over 10 weeks, the total amount added to the account is \( 20 \times 10 = 200 \). So, the total added is $200.

5. What does the slope of the equation represent?

   • The slope (the coefficient of \( x \), which is 20) represents the rate of increase in the total amount of money in the account per week. Tammy's account increases by $20 each week.

6. How much will the total amount be if she doesn't add any money after the initial amount for 3 weeks?

   • If no money is added for 3 weeks, the total amount remains at the initial amount of $550.

7. If Tammy decides to withdraw $100 after 4 weeks, what will be the total amount in her account?

   • After 4 weeks, the total amount in the account is: \[ y = 550 + 20(4) = 550 + 80 = 630. \]
   • If she withdraws $100, then the new total is: \[ 630 - 100 = 530. \]
   • So, the new total will be $530.

If you have more specific questions or scenarios in mind, feel free to ask!

Answer 2

give me just the answers and more clearer

Answer 3

Sure! Here are the answers in a clearer format:

1. Initial amount in the account: $550
2. Amount added each week: $20
3. Total after 5 weeks: $650
4. Total added after 10 weeks: $200
5. Slope represents: Increase of $20 per week
6. Total after 3 weeks without adding money: $550
7. Total after 4 weeks, then withdrawing $100: $530

Answer 4

what was the starting amount

Answer 5

The starting amount in the account is $550.