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levacccp [35]
3 years ago
8

What is the rate of decay for the function f(x) =2(0.95)^x ( x is on top of the parentheses)

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
7 0

Answer:

The decay rate is 5%.

Step-by-step explanation:

Let a substance is decaying at the rate of r% per hour from the initial value of P for t hours, then the final value of the substance is given by the function  

f(t) = P(1 - \frac{r}{100})^{t} ........... (1)

Comparing this equation with the original equation given as

f(x) = 2(0.95)^{x} ............ (2) we get,

(1 - \frac{r}{100}) = 0.95

⇒ \frac{r}{100} = 0.05

⇒ r = 5%.

Therefore, the decay rate is 5%. (Answer)

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The function f(x) varies directly with x, and f(x) = 45 when x = 9.
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Answer:

Option C = 15

Step-by-step explanation:

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f(x=9) = 45

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To find this factor we can just divide 45 with 9 which gives: \frac{45}{9} = 5

Thus the factor a here is a=5 which finally tells us that

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Since we now know our function we can plug in the value for x=3 and solve for f(x=3) as follow:

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