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Mathematics 20 Online
OpenStudy (kitkat1):

Medal for best answer!!! 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. Part B: The table below shows the price f(t), in dollars, of product B after t years:

OpenStudy (kitkat1):

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

OpenStudy (anonymous):

The price of product a is increasing by 3% and product a is recorded to have a greater percentage change because the percentage of product b is 1% so a larger

OpenStudy (kitkat1):

U mean 3% From the first equation?

OpenStudy (anonymous):

Yes

OpenStudy (kitkat1):

can u show me how you know its 3%?

OpenStudy (anonymous):

1.03-1=0.03=3%

OpenStudy (anonymous):

Trust me I did this a couple days ago

OpenStudy (kitkat1):

Okay so the product A has a greater percentage change than the 2nd product?

OpenStudy (anonymous):

Yes because the percentage change for product two is 1%

OpenStudy (kitkat1):

Can u help me with one more?

OpenStudy (anonymous):

Yea but plz make it quick u in flvs too?

OpenStudy (kitkat1):

Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your answer. (2 points) Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years. (4 points) Part C: Belinda wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 20 years for each option.

OpenStudy (kitkat1):

Belinda wants to invest $1000. The table below shows the value of her investment under two different options for three different years: Number of years 1 2 3 Option 1 (amount in dollars) 1300 1690 2197 Option 2 (amount in dollars) 1300 1600 1900

OpenStudy (anonymous):

I will give you part a and b not part x because I didn't do too well on that one ok

OpenStudy (kitkat1):

Okay

OpenStudy (anonymous):

C-*

OpenStudy (anonymous):

Oh wait I had dif number than you but Lemmie work it out

OpenStudy (kitkat1):

Ok

OpenStudy (anonymous):

Option two is linear option one is exponential

OpenStudy (kitkat1):

It says to explain

OpenStudy (anonymous):

Option two because it is increasing by the same amount each time

OpenStudy (kitkat1):

option 1?

OpenStudy (anonymous):

Because it will curve

OpenStudy (kitkat1):

what do u mean can i just say that it isn't increasing or something?

OpenStudy (anonymous):

No because it is not increasing by the same amount each time

OpenStudy (kitkat1):

Like not increasing the same way

OpenStudy (anonymous):

Yea

OpenStudy (kitkat1):

Okay and part B?

OpenStudy (anonymous):

I gotta go so sorry hope I helped

OpenStudy (kitkat1):

Thanks

OpenStudy (anonymous):

No problem hope I helped

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