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vekshin1
3 years ago
7

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. (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.
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0
We write the function f like this:
f(x)=72(1+0.25)^x
It means that the price is increasing by 25\% a year. 
B)Let compute the price change of the product B:
\frac{142.81-109.85}{109.85}\times100=30\%
We deduce that product B recorded a greater percentage.
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