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Find the exponential function that contains the points (2, 48) and (3,192).

User Patrena
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Answer: Let's assume that the exponential function we are looking for is of the form:

y = ab^x

where a and b are constants that we need to find.

Using the two points given, we can set up a system of equations:

48 = ab^2

192 = ab^3

We can divide the second equation by the first equation to eliminate a:

(192/48) = (ab^3)/(ab^2)

4 = b

Now we can substitute b = 4 into one of the original equations to solve for a:

48 = a(4)^2

48 = 16a

a = 3

Therefore, the exponential function that passes through the points (2, 48) and (3, 192) is:

y = 3(4)^x

User Dehrg
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