Write an exponential equation in the form y = abx whose graph passes through points (4, 8) and (6, 32). y = 4(8)x

y = 2(0.5)x

y = 0.5(2)x

y = (0.5)x

Option C.

Step-by-step explanation:

The general exponential equation is

It is given that the graph of exponential function passes through points (4,8) and (6,32). It means the equation of exponential function must be satisfied by these points.

      ...(1)

      ...(2)

Divide equation (2) by equation (1).

Taking square root on both sides.

Put b=2 in (1).

Substitute a=0.5 and b=2 in the given general exponential equation.

Therefore, the correct option is C.

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