Understanding Account Balance Changes

The video tutorial explains a problem involving Arjun's savings account, where M(t) represents the account balance in dollars t days after opening. The focus is on understanding the meaning of M(30) - M(0) = 100, which indicates the balance after 30 days is $100 more than the initial balance. The tutorial evaluates different interpretations and concludes that Arjun made a profit of $100 in the first 30 days.

What does the function M(t) represent in the context of Arjun's savings account?

• The account balance in dollars after t days

• The number of transactions made

• The total deposits made into the account

• The interest rate of the account

What does M(30) - M(0) = 100 signify about Arjun's account?

• The account was closed after 30 days

• The initial deposit was $100

• The account balance is $100 after 30 days

• The balance increased by $100 in 30 days

If M(30) is the balance after 30 days, what is M(0)?

• The balance after 15 days

• The balance after 60 days

• The initial balance

• The balance after 90 days

Which of the following is NOT a correct interpretation of M(30) - M(0) = 100?

• The balance after 30 days is $100 more than the initial balance

• Arjun added $100 to the account in the first 30 days

• The account balance was $100 after 30 days

• The account balance increased by $100 in 30 days

What does the statement 'Arjun made a profit of $100 over the first 30 days' imply?

• Arjun deposited $100 into the account

• The account balance increased by $100

• The account balance decreased by $100

• Arjun withdrew $100 from the account