Question

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) = 72(1.25)x
Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer.

Answer 1

please help
I don't understand

Answer 2

@zepdrix @thomaster @Luigi0210 @ParthKohli

Answer 3

Is the function supposed to be:\[\Large\rm f(x)=72(1.25)^x\]yes?

Answer 4

yes

Answer 5

Imagine we had a function like this:\[\Large\rm g(x)=72(1)^x\]Every year, the amount 72 would be unchanged, yes?
It's not increasing or decreasing.
The 1 represents 100%.
It's staying at 100% all the time.

A value larger than 1 will represent increase.\[\Large\rm f(x)=72(1.25)^x\]This 72 is growing to 125% of it's value each year.
It's increasing by 25% each year.

Answer 6

o thank u that makes a lot more sense