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given that expression what is the rate of Decay (write in decimal form, not as a percentage) 15000(.87)^t

1 Answer

5 votes

Answer:

0.13

Step-by-step explanation:

The exponential function has the following form:


y=a\cdot(1-r)^t

Where a is the initial value and r is the decay rate.

In this case, we have:


y=15000(0.87)^t

So, we can say that 0.87 is equal to 1 - r, then:

0.87 = 1 - r

Now, we need to solve the equation for r:

0.87 + r = 1 - r + r

0.87 + r = 1

0.87 + r - 0.87 = 1 - 0.87

r = 0.13

Therefore, the decay rate is 0.13.

User Kracekumar
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