Savings Account Growth and Rules

The video tutorial explains how the amount of money in a savings account increases by 5% each year. It introduces the concept of an exponential recursive rule to represent this situation. The tutorial details how to write the recursive rule, emphasizing the importance of multiplying by 1.05 to account for the 5% increase. The process of converting the percentage to a decimal is also covered, ensuring the correct application of the rule.

What is the annual percentage increase in the savings account as described in the scenario?

• 15%

• 5%

• 10%

• 2%

What type of rule is used to represent the increase in the savings account?

• Linear rule

• Quadratic rule

• Logarithmic rule

• Recursive rule

How do you calculate the amount in the savings account for any year 'n'?

• Divide the previous year's amount by 1.05

• Add 5% to the previous year's amount

• Multiply the previous year's amount by 1.05

• Subtract 5% from the previous year's amount

What does the '1.05' factor represent in the recursive rule?

• A 10% increase

• The original amount plus a 5% increase

• The original amount minus a 5% decrease

• A decrease of 5%

Why is it incorrect to multiply by 0.05 in the recursive rule?

• It would decrease the amount

• It would double the amount

• It would increase the amount by 10%

• It would keep the amount the same

What is the purpose of the recursive rule in this context?

• To predict future interest rates

• To determine the amount in the account each year

• To find the initial deposit amount

• To calculate the total interest earned