58.0k views
0 votes
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

1 Answer

2 votes

Final answer:

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.

User Dean
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories