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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) = 12500(0.82)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) 5600 3136 1756.16 983.45

which product recorded a greater percentage change in price over the previous year? justify your answer.

Part A: for product A would be decreasing I would say by about 18% every year. And 82 would be the percentage left after the years.

Part B: for product B there is a much larger change because before it had a difference in percentage by 44%. And product A only had a difference in percentage by 18%.

Step-by-step explanation:

i simplified the answer for you guys so you're not having to read so much "useless info" :) Hope it helped.

(stay strong through this corona mess, it's just a season we will be back in Brick and Morter to see our friends and favorite teachers soon <3)

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

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step-by-step explanation:

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