Use arithmetic sequences to model and analyse practical situations involving linear growth or decay, e.g. analysing a simple interest loan or investment, calculating a taxi fare based on the flag fall and the charge per kilometre, calculating the value of an item using the straight -line method of depreciation. General Mathematics 2025 v1.3

A taxi charges a flag fall of $4.50 plus $2.20 per kilometre travelled. The total fare for successive kilometres forms an arithmetic sequence. Which option shows three consecutive terms of the fare sequence (in dollars)?

A taxi service charges a flag fall of $\$4.50$ and then $\$2.20$ per kilometre. Use an arithmetic sequence to determine the total fare for a journey of 15 km, showing your working.

A commercial printing machine depreciates in value using the straight-line method. The table shows the machine's value, V_n, where n is the number of years since purchase at the start of 2021. Determine whether the machine's value at the start of 2030 will be less than one-fifth of its original purchase price.