Question

Find the equation of the exponential function represented by the table below:

Answer 1

Answer:

$y=0.2(0.5)^x$ is the answer.

Step-by-step explanation:

Let the equation of the exponential function is,

$y=a(b)^x$

Two points from the given table which lie on the graph are (0, 0.2) and (1, 0.1)

For a point (0, 0.2),

0.2 = $a(b)^0$

a = 0.2

For another point (1, 0.1),

0.1 = $0.2(b)^1$

b = $\frac{0.1}{0.2}$ = 0.5

Therefore, exponential function defined by the given table is,

$y=0.2(0.5)^x$