SOLUTION: Find a formula for the exponential function passing through the points (−3,6250) and (2,2).

Question 1148669: Find a formula for the exponential function passing through the points
(−3,6250) and (2,2).

Answer by amarjeeth123(570) (Show Source): You can put this solution on YOUR website!
Let the function be y=a*(b)^x
The function passes through the points (-3,6250) and (2,2)
Plugging in the values we get,
6250=a(b)^(-3)...........equation 1
2=a(b)^(2)...............equation 2
Dividing equation 2 by equation 1 we get,
(b)^5=(1/3125)
b=(1/5)
Substituting in equation 2 we get,
2=a(1/25)
a=50
The values of a and b satisfy equation1.
So the required function is y=50*(1/5)^x
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