GCSE Secondary Maths Age 13-17 - Algebra: Formula - Explained

The video tutorial explains how to calculate the total cost of hiring a carpet cleaner using a formula. It demonstrates solving for the number of days Andy hired the cleaner using algebraic methods and trial and improvement. Additionally, it derives a formula for calculating the cost based on the number of days Chloe hires the cleaner. The tutorial emphasizes understanding and applying the given rule to solve related problems.

What is the initial step in calculating the total cost of hiring a carpet cleaner?

• Divide the total cost by 7.8

• Add 12 to the number of days

• Multiply the number of days by 7.8

• Subtract 12 from the total cost

If Andy hires a carpet cleaner and the total cost is £82.20, how many days did he hire it for?

• 8 days

• 7 days

• 10 days

• 9 days

Which method can be used to find the number of days Andy hired the carpet cleaner?

• Only trial and improvement

• Only algebraic method

• Both trial and improvement and algebraic method

• Neither method

What is the formula for the total cost (T) in terms of the number of days (Y) Chloe hires a carpet cleaner?

• T = 12Y - 7.8

• T = 12Y + 7.8

• T = 7.8Y - 12

• T = 7.8Y + 12

How many marks are awarded for deriving the formula T = 7.8Y + 12?

• Four marks

• Two marks

• One mark

• Three marks