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

- anonymous

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- anonymous

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

- anonymous

@IrishBoy123

- anonymous

@Kainui @ganeshie8

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## More answers

- anonymous

please help me @sammixboo @Hero

- anonymous

@heretohelpalways please help

- anonymous

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

- anonymous

@undeadknight26 @TheSmartOne

- anonymous

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

- anonymous

@saseal

- anonymous

@ali2x2

- anonymous

what is 0.69(1.03)

- anonymous

.7107

- anonymous

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

- ali2x2

k

- ali2x2

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.

- anonymous

this thing is pretty intuitive

- ali2x2

|dw:1438873866977:dw|

- ali2x2

part B

- ali2x2

im sorta confused sorry ;c ill do a google search

- ali2x2

lmao or mr.doge here can help?

- anonymous

sure

- anonymous

what just happened..

- anonymous

you got the first part right yet?

- anonymous

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

- anonymous

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

- anonymous

.69*1.03 is .7107

- anonymous

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

- anonymous

yea f(x) = 0.69 * 1.03 * x

- anonymous

you get it yet?

- anonymous

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

- anonymous

next time put that ^ sign

- anonymous

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

- anonymous

the function is actually increasing in that case

- anonymous

its an exponential curve

- anonymous

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

- anonymous

so confused omfg

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

.7107-.69

- anonymous

yes

- anonymous

.0207

- anonymous

what % is 0.0207 of 0.69?

- anonymous

.00014283

- anonymous

wrong

- anonymous

I am not sharp. Can you help?

- anonymous

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

- anonymous

3

- anonymous

3% increase

- anonymous

part b is easy

- anonymous

take year 2 - year 1

- anonymous

okayy. so 101

- anonymous

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

- anonymous

101%?

- anonymous

no 10.1%?

- anonymous

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

- anonymous

1%

- anonymous

yes

- anonymous

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

- anonymous

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

- anonymous

yes, and which is greater?

- anonymous

PRODUCT A?

- anonymous

yea

- anonymous

sorry about caps

- anonymous

np

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