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BRAINLIEST AND 20 POINTS

James is studying the change in the cost of two items, A and B, over time. The cost of these items may increase or decrease due to inflation or depreciation.

The cost c(x), in dollars, of product A after x years is represented by the function below.

c(x) = 72(1.25)^x

By what percentage per year is the cost increasing or decreasing? Show all your work to justify your answer.

Sagot :

saya

Answer:

25% increase

Step-by-step explanation:

This problem has 3 important variables. The variable x is the amount of years which is the power of 1.25, which is the number that gives us whether or not the relation is increasing or decreasing. 72 is just simply the number we started off with and are seeing how the rate changes the price.

The base, 1.25, is above 1 which means it is an increase of percentage by 25 percent. We would subtract 1.25-1 to get .25 which is 25 percent.

If the base was anything lower then 1, it would be that number subtracted by 1 and converted into percentage like I did above.

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