## Hahawowoh one year ago 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. (4 points) Part B: How many cars does Cory have after 6 years? How many does Roger have after the same number of years? (2 points) Part C: After approximately how many years is the number of cars that Cory and Roger have the same? Justify your answer mathematically. (4 points)

1. Hahawowoh

2. misty1212

HI!!

3. misty1212

you are not getting an answer because there is no information with which to answer it

4. Hahawowoh

there I fixed it

5. misty1212

to increase a number by $$20\%$$ multiply it by $$100\%+20\%=120\%=1.2$$ so a good function for cory is $15\times 1.2^t$

6. Hahawowoh

I have everything just part c

7. misty1212

i guess you are supposed to solve $t+40=15\times (1.2)^t$

8. misty1212

it says "approximately" so i would use this http://www.wolframalpha.com/input/?i=t%2B40%3D15%281.2%29%5Et

9. misty1212

or since you were already asked how many each had in six years, and since those numbers are almost equal, say "six"