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JulsSmile [24]
3 years ago
15

The value of the function f(x) is 600 when x=0 and decreases by 9% for every one-unit increase in x. Complete the equation that

represents the function f(x)
its a open answer please help
Mathematics
1 answer:
weeeeeb [17]3 years ago
6 0

Answer:

f(x)=600(0.09)^x

Step-by-step explanation:

Since f(x) decreases by 9% for every one unit increase in x, it means that f(x) is an exponential decay function. An exponential function is given by:

f(x) = ab^x; where a is the value of f(x) at x = 0, b is the multiplier and is less than 0 for a decay.

Therefore since at x = 0, f(x) = 0. Hence a = 600. Also, b = 9% = 0.09.

The function f(x) can hence be represented as:

f(x)=600(0.09)^x

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