Question

which is the graph of $f(x) = 100(0.7)^x$?

Explanation:

Step1: Find y-intercept (x=0)

Substitute $x=0$ into $f(x)=100(0.7)^x$:
$f(0)=100(0.7)^0=100\times1=100$
So the graph passes through $(0,100)$.

Step2: Calculate f(2) to verify point

Substitute $x=2$ into $f(x)=100(0.7)^x$:
$f(2)=100\times(0.7)^2=100\times0.49=49$
So the graph passes through $(2,49)$.

Answer:

The fourth graph (with points $(0,100)$ and $(2,49)$)