Question

MEDAL
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.

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

Answer 1

Which product recorded a greater percentage change in price over the previous year? Justify your answer. is Part B

Answer 2

product A is decreasing by 0.63 right?

Answer 3

What about part b?

Answer 4

that doesn't help with part b tho

Answer 5

for B, take the price of year 2 - the price of year 1, you get
10,201 - 10,100=101
then take the price of year 3- the price of year 2, you get
10,303.01-10201=102.01 (a little bit up, right?)
do the same with year 4, 3
10,406.04-10,303.01=103.03 (a little bit up again, right?)

Answer 6

@phi

Answer 7

First, is the equation for part A
\[ f(x) = 0.69(1.03)^x\]
where x is an exponent?
if so , then f(x) is growing by 3%

Answer 8

for part B, you first find the difference (see allen's work)
then divide by the original amount
\[ \frac{101}{10,100} \]
then change that to a percent by multiplying by 100 (and adding % sign)

Answer 9

okay

Answer 10

and its not his work he copied and pasted it all of it from another person