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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)=12500(0.82)*
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
3
4
f(t) (price in dollars) 5600 3136 1756.16 983.45
2
Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)

Respuesta :

MrRoyal

The price of product A is decreasing and by what 18% per year and the product B recorded a greater percentage change in price over the previous year

Part A: Is the price of product A increasing or decreasing and by what percentage per year?

The function of product A is given as:

f(x) = 12500 * (0.82)^x

The rate of change is represented as:

Rate = 0.82

0.82 is less than 1

This means that the price decreases

The decrement per year is

Decrement = 1 - 0.82

Evaluate

Decrement = 18%

Hence, price of product A is decreasing and by what 18% per year

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

On table B, we have:

f(1) = 5600

f(2) = 3136

Divide f(2) by f(1)

So, we have

Rate = 3136/5600

Evaluate

Rate = 56%

The decrement per year is

Decrement = 1 - 56^

Evaluate

Decrement = 44%

44% is greater than 18%

Hence, the product B recorded a greater percentage change in price over the previous year

Read more about exponential functions at:

https://brainly.com/question/11464095

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