Section 2 – Sarah's got a phone problem… (13 marks)
Sarah's current mobile phone plan is about to end. She is currently with Telstra and has 80 GB of data left. She is deciding between two options:
Option 1
Continue to recharge with Telstra. If she chooses this option, the 80 GB of data left rolls over into the next recharges.
Option 2
Change to Optus which offers more data at the same price, but does not roll over the 80 GB of data she has left.
For both prepaid plans, she does not enable auto-recharging.
Let m represent the number of months that Sarah recharges her prepaid plan and Dr represent the amount of mobile data available after each recharge with Telstra.
Using these variables, write an equation that shows the relationship between the number of recharges and data available if Sarah continues to recharge with Telstra.