SOLUTION: Write the equation of an exponential function that passes through the points (2, 48) and (5, 750).

Algebra ->  Exponents -> SOLUTION: Write the equation of an exponential function that passes through the points (2, 48) and (5, 750).      Log On


   



Question 1059578: Write the equation of an exponential function that passes through the points (2, 48) and (5, 750).
Found 2 solutions by Boreal, Alan3354:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=b^x
48=ab^2
750=ab^5
divide the last by the middle
750/48=b^3=15.625
b=cube root of 15.625=2.5
a2.5^2=48
6.25a=48
a=7.68
7.68*(2.5^5)=750.
The function is f(x)=7.68(2.5)^x
graph%28300%2C300%2C-10%2C10%2C-30%2C800%2C7.68%2A%282.5%5Ex%29%29
A check is that (4,300) should work. See the graph.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of an exponential function that passes through the points (2, 48) and (5,750).
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Depends on what you mean by "exponential function."
y = 6x^3