SOLUTION: My problem is:
Write an exponential function whose graph passes through each pair of points for:
(20,4), (25,3)
I am using the book:Algebra 2 Explorations & Applications by
Algebra.Com
Question 253143: My problem is:
Write an exponential function whose graph passes through each pair of points for:
(20,4), (25,3)
I am using the book:Algebra 2 Explorations & Applications by McDougal Littell
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the general exponential equation
Plug in x=20 and y=4 since the point (20,4) lies on the graph.
Divide both sides by to isolate 'a'.
Rearrange the equation.
Go back to the general exponential equation
Plug in x=25 and y=3 since the point (25,3) also lies on the graph.
Plug in
Multiply
Reduce.
Divide both sides by 4.
Take the 5th root of both sides to isolate 'b'.
Convert to exponential notation.
Rearrange the equation.
Go back to the previously isolated equation.
Plug in
Multiply and simplify the exponents.
Simplify and reduce.
So the exponential equation that goes through the points (20,4), (25,3) is
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