Question

Find the value of a if the graph of the exponential function y=a⋅2ˣ passes through the point A(3,128).

A. 16
B. 32
C. 4
D. 8

Answer 1

To find the value of a, substitute the values from point A(3,128) into the exponential function y=a·2^x and solve for a, which in this case results in a value of 16.

Step-by-step explanation:

The value of a in the exponential function y = a·2^x that passes through the point A(3,128) can be found by substituting the x and y values from the point into the equation and solving for a.

Thus, we get:

128 = a·2^3

128 = a·8

Now, we divide both sides of the equation by 8 to solve for a:

a = 128 / 8

a = 16

Therefore, the correct answer is A. 16.