Cory has 15 die-cast cars in his collection. Each year his collection increases by 20%. Roger has 40 cars in his collection. Each year he collects 1 additional car. Part

AWrite functions to represent Cory and Roger's collections throughout the years.

Part

BHow many cars does Cory have after 6 years? How many does Roger have after the same number of years?

Part

CAfter approximately how many years is the number of cars that Cory and Roger have the same? Justify your answer mathematically.