Write a function in terms of t that represents the situation. A $900 sound system decreases in value by 9% each year.

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Mathematics

Ariana Chaney

23 March, 10:53

Write a function in terms of t that represents the situation. A $900 sound system decreases in value by 9% each year.

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America Villa · Answer 1

Let cost be represented as x and time as t. If the value of the system decreases 9% each year, that means that it only retains (100 - 9) % or 91% of its value from the previous year. Based on the initial value of $900 at t = 0, this can be written as x = ($900) (0.91) ^t.