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amm1812
3 years ago
11

Identify the initial amount a and the rate of growth r (as a percent) of the exponential function. Evaluate the function when t

= 5. Round your answer to the nearest tenth.
h(t) = 8.1^{t}
Mathematics
1 answer:
Montano1993 [528]3 years ago
3 0

Answer:

The initial value is 1 and growth factor as a percentage will be 710%.

Step-by-step explanation:

The exponential growth function is given by f(x) = a (b)^{x} ......... (1), where, a is called as the initial value and b is called as the growth factor.

Now, in this case the the function is given to be  h(t) = 8.1^{t} ....... (2)

Now, comparing equation (1) and (2), we get

a = 1 and b = 8.1

Now, b = 1 + r

⇒ 8.1 = 1 + r

⇒ r = 7.1

So, the initial value is 1 and growth factor as a percentage will be 7.1 × 100 % = 710%. (Answer)

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