Question

Pleeeease help me

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

Part A:
Cory f(x)=

`15 * (1 + 20\%)^(x)`
f(x) = 15 x 1.2x

Roger f(x)= 40 + x

Part B
Cory
f(6)=15 x 1.2(6) = 44.79 =44

Roger
f(6) = 40 +6 =46

Part c
Cory =Roger
15 x 1.2 x = 40 +x
18x =40 +x
17x =40
x=40/17
x=2.35