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## 100 POINTSSS! ASAP ANSWEERR PLS The price of products may increase due to inflation and decrease due to depreciation. Marco is studyi

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100 POINTSSS! ASAP ANSWEERR PLS

The price of products may increase due to inflation and decrease due to depreciation. Marco 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:

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.

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Mathematics
3 years
2021-08-16T22:07:04+00:00
2021-08-16T22:07:04+00:00 1 Answers
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## Answers ( )

PART AGiven:f(x) = 0.69(1.03)x

To find:If the price of the product is increasing or decreasing and by what percentage

Steps:we know the formula to find the price of Product A per year, so

f(1) = 0.69 * 1.03 * 1

Price = $0.7107

f(2) = 0.69 * 1.03 * 2

Price = $1.4214

Here the Price of Product after 2 years is greater than the price of Product after one year. So the price of the product A is increasing.

Now to find percentage increase,

Percentage increase = (FV = final value, SV = starting value)

Percentage increase =

Percentage increase =

Percentage increase = 100 %

Therefore, the

percentage increase of Product A is 100%PART BGiven:Price of product B in 1st year = $10,100

Price of product B in 2nd year = $10,201

Price of product B in 3rd year = $10,303.01

Price of product B in 4th year = $10,406.04

To find:Which product recorded a greater percentage change over the previous year

Steps:We need to find the percentage change of Product B and Product A of each year. We know that the percentage change of product A is 100 % for each year, so we only need to calculate for product B

PC of product B from 1st to 2nd year =

=

= 0.01 * 100

= 1 %

PC of product B from 2nd to 3rd year =

= 1%

PC of product B from 3rd to 4th year

≈ 1%

So, percentage change of product B is 1% per year

Therefore,

Product A has greater percentage changeHappy to help 🙂If u need more help, feel free to ask