Question

algebra 2 362403-6 fy - 1
6 - 1: mathxl for school: practice & problem - solving
due feb 6 - 3:30 p
what value of a completes the equation $y = acdot2^{x}$ for the exponential growth function shown?
$a = \square$
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question 1 of 22 bac

Explanation:

Step1: Identify a point on the graph

The graph passes through the point $(1, 4)$.

Step2: Substitute point into the equation

Substitute $x=1$, $y=4$ into $y = a \cdot 2^x$:
$4 = a \cdot 2^1$

Step3: Solve for $a$

Simplify $2^1=2$, so $4 = 2a$. Rearrange to find $a = \frac{4}{2}=2$.

Answer:

2