Question

algebra 2 362403 - 6 fy - 1
6 - 1: mathxl for school: practice & problem - solving
what value of a completes the equation ( y = acdot2^{x} ) for the exponential growth function shown?
( a=square )

Explanation:

Step1: Identify a point on the graph

The graph passes through $(0, 1)$.

Step2: Substitute point into the equation

Substitute $x=0$, $y=1$ into $y=a\cdot2^x$:
$1 = a\cdot2^0$

Step3: Simplify and solve for $a$

Since $2^0=1$, we get:
$1 = a\cdot1 \implies a=1$

Answer:

$a=1$