Question

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
a. Write functions to represent Cory and Roger's collections throughout the years.
Part
b. How many cars does Cory have after 6 years? How many does Roger have after the same number of years?
Part
c. After approximately how many years is the number of cars that Cory and Roger have the same? Justify your answer mathematically.

Answer 1

Cory gains 3 cars a year and Roger 1. 
Cory - 18 (6 x 3) : Roger - 6 (6 x 1)
I Cory was to stop receiving cars for 3 years, while Roger kept getting them for 3 then they would have the same amount.