Question

Please help!
Just need help on Part B.

Answer 1

The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price of two products, A and B, over time.

The price f(x), in dollars, of product A after x years is represented by the function below:

f(x) = 72(1.25)x

Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)

Part B: The table below shows the price f(t), in dollars, of product B after t years:


t (number of years) 1 2 3 4
f(t) (price in dollars) 65 84.5 109.85 142.81


Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)

Answer 2

I just need help on Part B.

Answer 3

@Vocaloid

Answer 4

@Mehek14

Answer 5

Help!

Answer 6

I am here

Answer 7

I'll help you.

Answer 8

if you try to test the terms in this table,

that is:

\(\large\color{black}{ \displaystyle 84.5\div 65 =?}\)

\(\large\color{black}{ \displaystyle 109.85\div 84.5 =?}\)

and on, then you can tell that these terms have acommon ratio of ... ?

Answer 9

they follow a pattern of multiplying times what number?

Answer 10

Nevermind he has gotten 3000 medals he will prob. help you better.

Answer 11

i got more than 3 times as many medals, but i don't think medals decide anything.....

Answer 12

Anyway, have you found this number that I asked for?

Answer 13

I am working on it

Answer 14

my internet is not working good

Answer 15

1.5?

Answer 16

no, but close

Answer 17

it is 1.3

Answer 18

OH okay.

Answer 19

Every term is being multiplied times 1.3
and thus it is a geometric sequence with r=1.3 or an exponential function with a base 1.3 (the same exact thing).

Answer 20

r=1.3?

Answer 21

is that the answer for part B?

Answer 22

no, don't worry about that. r=1.3 is related to geometric sequence, and I can explain that later, and that is option....

Answer 23

but, anyhow, you multiply times 1.3 everytime. Got that?

Answer 24

(this is by product B)

Answer 25

OK

Answer 26

GOod

Answer 27

So product B is multiplied times 1.3
and product A (based on its function \(f(x)=72(1.25)^x\)) you can tell that it is multiplied times 1.25 every time.

right?

Answer 28

(PRODUCT B)
ok, so multiplying times 1.3 is just same as taking 130% of the previous value.
And that means that you are increasing by 30% each year.

(PRODUCT A)
and multiplying times 1.25, is just same as taking 125% of the previous value.
That means that you are increasing by 25% each year.

Answer 29

if you need more help with this problem, then let me know.

Answer 30

ok :)