Question

Math check please!

Answer 1

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.

Answer 2

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

Answer: F(x) = 12500 ( 0.82) ^ x Its decreasing.

Product A is decreasing by 100 - 82 = 18%

Part B: Which product recorded a greater percentage change in price over the previous year?

Answer: Year 1: Has no previous year. Year 2: Decreased 44% from its previous year. Year 3: Decreased 44% from its previous year. Year 4: Decreased 78.6 % from its previous year.

Year 4 had the greatest percent of change.

Answer 3

Seems correct to me.

Answer 4

@pooja195

Answer 5

For Part B, notice
5600*0.56= 3136
and
3136*0.56= 1756.16
and
1756.16*0.56= 983.45

the percent change per year is (use the same idea as in Part A)
100-56= 44%

The answer is Product B has a greater percentage change per year (at 44%) than product A (at 18%)