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 C: After approximately how many years is the number of cars that Cory and Roger have the same? Justify your answer mathematically.
I have the answers to the other parts just need part c

Everyone mostly says this for part C:

Let's name "x" the number of years.

we know that 15 +15*1.20^{x} =40+x

let's try after 5 years: Roger would have 45 cars and Cory 52 ( i just guessed 5, and then I calculated 15 +15*1.20^{5}

Answer 1

@dan815

Answer 2

@ganeshie8

Answer 3

@xMissAlyCatx