The required equation is y=8×(
Step-by-step explanation:
Given,
The two points are (1,2) and (0.5,4)
To find the exponential equation of these given points.
Formula
The general form of exponential equation is y = where, A and B are any real number.
Now, the points satisfy the equation.
So,
2 = ------- (1) and
4 = ------ (2)
Now (1) ÷ (2) we get,
=
or, =
or, b = [ by squaring we get]
Now, from (1) we get,
2 = a×
or, a = 8
Hence,
The equation is y=8×(