SOLUTION: Suppose that f is an exponential function with f (4) = 13 and f (5) = 15. What is the growth factor for f?

Question 759390: Suppose that f is an exponential function with f (4) = 13 and f (5) = 15. What is the growth factor for f?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose that f is an exponential function with f (4) = 13 and f (5) = 15. What is the growth factor for f?
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y = ab^x
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13 = ab^4
15 = ab^5
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Divide to solve for "b":
b = 15/13
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Solve for "a":
13 = a(15/13)^4
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13^5 = 15^4*a
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a = 13^5/15/4
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Equation:
y = [13^5/15^4](15/13)^x
---
y = 7.3342(1.153)^x
===========================
Cheers,
Stan H.
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