Question 513446: Write the exponential function of the data.
x: 0, 5, 10
G(x) 100, 90, 81
so, (0, 100), (5, 90), (10, 81)
I got an equation of g(x) = 100 * .979^x using stat list on my graphing calculator. I want to know how to do this question without a calculator.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Write the exponential function of the data.
x: 0, 5, 10
G(x) 100, 90, 81
so, (0, 100), (5, 90), (10, 81)
I got an equation of g(x) = 100 * .979^x using stat list on my graphing calculator. I want to know how to do this question without a calculator.
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Using the points (0,100) and (5,90)
Form:
y = ab^x ; solve for "a" and "b".
100 = ab^0
100 = a*1
a = 100
----
So, y = 100b^x
Solve for "b" using (5,90):
90 = 100*b^5
b = 0.9^(1/5) = 0.9791
----
y = 100*0.9^(x/5)
OR
y = 100*0.9791^x
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Cheers,
Stan H.
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