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) = 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. (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
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. (5 points)

(10 points) ANSWER USING ALGEBRA 1 I will give 50 points if answered correctly.

Answer 1

Answer:

• See below

Step-by-step explanation:

Part A

Given function:

• f(x) = 0.69(1.03)ˣ

(1.03)ˣ in this function indicates the rate of increase. The increase is 1.03 times per year.

• 1.03 = 103% = 100% + 3%
• This is a 3% increase per year

Part B

The increase rate is:

• 10201/10100 = 1.01 times
• 1.01 = 101% = 100% + 1%
• This is a 1% increase per year

As we see the product A has greater percent change