anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Which product recorded a greater percentage change in price over the previous year?
anonymous
  • anonymous
@IrishBoy123
anonymous
  • anonymous
@Kainui @ganeshie8

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More answers

anonymous
  • anonymous
please help me @sammixboo @Hero
anonymous
  • anonymous
@heretohelpalways please help
anonymous
  • 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
  • anonymous
@undeadknight26 @TheSmartOne
anonymous
  • anonymous
please helllppp Wait, I need a too, because i dont know what percent?
anonymous
  • anonymous
@saseal
anonymous
  • anonymous
@ali2x2
anonymous
  • anonymous
what is 0.69(1.03)
anonymous
  • anonymous
.7107
anonymous
  • anonymous
what happens if you multiply any number by something smaller than 1?
ali2x2
  • ali2x2
k
ali2x2
  • 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
  • anonymous
this thing is pretty intuitive
ali2x2
  • ali2x2
|dw:1438873866977:dw|
ali2x2
  • ali2x2
part B
ali2x2
  • ali2x2
im sorta confused sorry ;c ill do a google search
ali2x2
  • ali2x2
lmao or mr.doge here can help?
anonymous
  • anonymous
sure
anonymous
  • anonymous
what just happened..
anonymous
  • anonymous
you got the first part right yet?
anonymous
  • anonymous
ehhhh I am not sure, as of right now i have that it is decreasing by 37%
anonymous
  • anonymous
0.69(1.03)=7.107 1-7.107=28.93%
anonymous
  • anonymous
.69*1.03 is .7107
anonymous
  • anonymous
you dont really need to care about whats inside or outside, multiplication is commutative
anonymous
  • anonymous
yea f(x) = 0.69 * 1.03 * x
anonymous
  • anonymous
you get it yet?
anonymous
  • anonymous
The x is an exponent, so it is 1.03*.69^x..
anonymous
  • anonymous
next time put that ^ sign
anonymous
  • anonymous
lol sorry I didnt pick up that it didnt show till now, sorry.
anonymous
  • anonymous
the function is actually increasing in that case
anonymous
  • anonymous
its an exponential curve
anonymous
  • anonymous
THE VALUE IN THE PARENTHESIS IS MORE THAN ONE. SO YAHHHH ITS INCREASING.
anonymous
  • anonymous
so confused omfg
anonymous
  • anonymous
regard the %, try plugging in x=0 and x=1 into the function
anonymous
  • anonymous
f(x)=.69(1.03)^0 .69*1 .69, or 69%
anonymous
  • anonymous
f(x)=.69(1.03)^1 .69* 1.03 .7107
anonymous
  • anonymous
ok now take\[f(1)-f(0)\]
anonymous
  • anonymous
.7107-.69
anonymous
  • anonymous
yes
anonymous
  • anonymous
.0207
anonymous
  • anonymous
what % is 0.0207 of 0.69?
anonymous
  • anonymous
.00014283
anonymous
  • anonymous
wrong
anonymous
  • anonymous
I am not sharp. Can you help?
anonymous
  • anonymous
\[\frac{ 0.0207 }{ 0.69 } \times 100\]
anonymous
  • anonymous
3
anonymous
  • anonymous
3% increase
anonymous
  • anonymous
part b is easy
anonymous
  • anonymous
take year 2 - year 1
anonymous
  • anonymous
okayy. so 101
anonymous
  • anonymous
now find the percentage like what you just did for the previous part
anonymous
  • anonymous
101%?
anonymous
  • anonymous
no 10.1%?
anonymous
  • anonymous
\[\frac{ 10201-10100 }{ 10100 } \times 100\]
anonymous
  • anonymous
1%
anonymous
  • anonymous
yes
anonymous
  • anonymous
now the answer for part b is in front of you compare % of product a & b
anonymous
  • anonymous
okay so product a: 3%, product b=1%?
anonymous
  • anonymous
yes, and which is greater?
anonymous
  • anonymous
PRODUCT A?
anonymous
  • anonymous
yea
anonymous
  • anonymous
sorry about caps
anonymous
  • anonymous
np

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