Question

Will medal Part A: Write functions to represent Cory and Roger's collections throughout the years. (

Answer 1

@dan815
@imqwerty
@Owlcoffee
@pooja195
@jhonyy9

Answer 2

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.

Answer 3

this goes with part A

Answer 4

Cory: at the beginning, he has 15 cars.
After 1 year, he has 20% more. Now, 20% of 15 =??

Answer 5

3?

Answer 6

Yes, so, after 1 year, he has 15 +3 = 18 cars, right?

Answer 7

yeah

Answer 8

Now, year 2, at the beginning of year 2, he has 18 cars
At the end of year 2, he has 20%of 18 =?

Answer 9

so now how do i find rogers and then how would i put it into answer to the question

Answer 10

3.6?

Answer 11

is that 20% of 18

Answer 12

yes, so for the equation, you need something like
\(C_n= 1.2C_{n-1}\) where \(C_0 = 15\)

Answer 13

would c stand for cory and do you think it could be more explained, because that confused me a bit

Answer 14

C stands for the the cars Cory has. n stands for the year pass
Like if n =1, that is year 1. The number of Cars he has \(C_1= 1.2 C_{1-1}=1.2C_0=1.2*15 =18\)
if n=2, that is year 2, the number of Cars he has is
\(C_2= 1.2 C_{2-1}=1.2 C_1=1.2*18 = 21.6\)
As we do above 20% of 18 = 3.6
Hence after year 2, he has 18+3.6 =21.6

Answer 15

My equation is to generalize the formula used to calculate how many cars Cory has.

Answer 16

so would those be the functions for cory

Answer 17

For Rogers, it is easy. At the beginning, he has 40 cars, each year he has 1 more. So
\(C_n = 40 +n\)
that is if n=1, after year 1, he has 40+1=41
after year 2, he has 40+2 =42
so far and so on.

Answer 18

ok so now could you help me put those into an answer for my question .

Answer 19

like if you looked at the question how would you answer it?

Answer 20

Honestly, I don't know what your prof wants you to do. To me, to answer those questions, I do like above.

Answer 21

ok thx i will do my best then post the second part.