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

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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

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

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please help me @sammixboo @Hero
@heretohelpalways please help
I only need part B and c (help with), because a is: 12500(0.82)=10250, so it is decreasing by 2250, right?
please helllppp Wait, I need a too, because i dont know what percent?
what is 0.69(1.03)
.7107
what happens if you multiply any number by something smaller than 1?
k
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.
this thing is pretty intuitive
|dw:1438873866977:dw|
part B
im sorta confused sorry ;c ill do a google search
lmao or mr.doge here can help?
sure
what just happened..
you got the first part right yet?
ehhhh I am not sure, as of right now i have that it is decreasing by 37%
0.69(1.03)=7.107 1-7.107=28.93%
.69*1.03 is .7107
you dont really need to care about whats inside or outside, multiplication is commutative
yea f(x) = 0.69 * 1.03 * x
you get it yet?
The x is an exponent, so it is 1.03*.69^x..
next time put that ^ sign
lol sorry I didnt pick up that it didnt show till now, sorry.
the function is actually increasing in that case
its an exponential curve
THE VALUE IN THE PARENTHESIS IS MORE THAN ONE. SO YAHHHH ITS INCREASING.
so confused omfg
regard the %, try plugging in x=0 and x=1 into the function
f(x)=.69(1.03)^0 .69*1 .69, or 69%
f(x)=.69(1.03)^1 .69* 1.03 .7107
ok now take\[f(1)-f(0)\]
.7107-.69
yes
.0207
what % is 0.0207 of 0.69?
.00014283
wrong
I am not sharp. Can you help?
\[\frac{ 0.0207 }{ 0.69 } \times 100\]
3
3% increase
part b is easy
take year 2 - year 1
okayy. so 101
now find the percentage like what you just did for the previous part
101%?
no 10.1%?
\[\frac{ 10201-10100 }{ 10100 } \times 100\]
1%
yes
now the answer for part b is in front of you compare % of product a & b
okay so product a: 3%, product b=1%?
yes, and which is greater?
PRODUCT A?
yea
sorry about caps
np

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