Question

I WILL MEDAL
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) = 0.69(1.03)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) 10,100 10,201 10,303.01 10,406.04

Answer 1

Which product recorded a greater percentage change in price over the previous year?

Answer 2

@IrishBoy123

Answer 3

@Kainui @ganeshie8

Answer 4

please help me @sammixboo @Hero

Answer 5

@heretohelpalways please help

Answer 6

I only need part B and c (help with), because a is:
12500(0.82)=10250, so it is decreasing by 2250, right?

Answer 7

@undeadknight26 @TheSmartOne

Answer 8

please helllppp Wait, I need a too, because i dont know what percent?

Answer 9

@saseal

Answer 10

@ali2x2

Answer 11

what is 0.69(1.03)

Answer 12

.7107

Answer 13

what happens if you multiply any number by something smaller than 1?

Answer 14

k

Answer 15

PART I
You know that this function is DECREASING because 0.63, the number inside of the parenthesis, is LESS THAN THE NUMBER 1. I [think I] know the way to determine by what percentage it is decreasing. [I think] My teacher taught me that I have to subtract the number, in this case 0.63, from 1. So, 1 - 0.63 = 0.37. So it is decreasing by 0.37.

Answer 16

this thing is pretty intuitive

Answer 17

part B

Answer 18

im sorta confused sorry ;c ill do a google search

Answer 19

lmao or mr.doge here can help?

Answer 20

sure

Answer 21

what just happened..

Answer 22

you got the first part right yet?

Answer 23

ehhhh I am not sure, as of right now i have that it is decreasing by 37%

Answer 24

0.69(1.03)=7.107
1-7.107=28.93%

Answer 25

.69*1.03 is .7107

Answer 26

you dont really need to care about whats inside or outside, multiplication is commutative

Answer 27

yea f(x) = 0.69 * 1.03 * x

Answer 28

you get it yet?

Answer 29

The x is an exponent, so it is 1.03*.69^x..

Answer 30

next time put that ^ sign

Answer 31

lol sorry I didnt pick up that it didnt show till now, sorry.

Answer 32

the function is actually increasing in that case

Answer 33

its an exponential curve

Answer 34

THE VALUE IN THE PARENTHESIS IS MORE THAN ONE. SO YAHHHH ITS INCREASING.

Answer 35

so confused omfg

Answer 36

regard the %, try plugging in x=0 and x=1 into the function

Answer 37

f(x)=.69(1.03)^0
.69*1
.69, or 69%

Answer 38

f(x)=.69(1.03)^1
.69* 1.03
.7107

Answer 39

ok now take\[f(1)-f(0)\]

Answer 40

.7107-.69

Answer 41

yes

Answer 42

.0207

Answer 43

what % is 0.0207 of 0.69?

Answer 44

.00014283

Answer 45

wrong

Answer 46

I am not sharp. Can you help?

Answer 47

\[\frac{ 0.0207 }{ 0.69 } \times 100\]

Answer 48

3

Answer 49

3% increase

Answer 50

part b is easy

Answer 51

take year 2 - year 1

Answer 52

okayy. so 101

Answer 53

now find the percentage like what you just did for the previous part

Answer 54

101%?

Answer 55

no 10.1%?

Answer 56

\[\frac{ 10201-10100 }{ 10100 } \times 100\]

Answer 57

1%

Answer 58

yes

Answer 59

now the answer for part b is in front of you compare % of product a & b

Answer 60

okay so product a: 3%, product b=1%?

Answer 61

yes, and which is greater?

Answer 62

PRODUCT A?

Answer 63

yea

Answer 64

sorry about caps

Answer 65

np