Question

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) = 72(1.25)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) 65 84.5 109.85 142.81


Which product recorded a greater percentage change in price over the previous year? Justify your answer. (100 points)

Answer 1

Answer:

• A. Increasing
• B. Product B

Step-by-step explanation:

Part A

Given function

• f(x) = 72(1.25)ˣ

The price changes by a factor of change = 1.25.

Since the factor is greater than 1 it represents an increase.

The percent of change is:

• 1.25 - 1 = 0.25 = 25%

Part B

The product B also showing an increase over time as per table values.

The change factor is:

• 84.5/65 = 109.85/84.5 = 142.81/109.85 = 1.3

This represents a 30% percent increase over a year.

Since 30% > 25% the product B has a greater percent change in price.

Answer 2

Answer:

I am just doing the test hold on that I will take a screen shot of my answer and post.

Step-by-step explanation: