Question

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

Explanation:

Step1: Identify initial point

When $x=0$, calculate $f(0)$:
$f(0)=100(0.7)^0=100\times1=100$
All graphs have $(0,100)$, so check $x=2$.

Step2: Calculate $f(2)$

Substitute $x=2$ into the function:
$f(2)=100(0.7)^2=100\times0.49=49$

Step3: Match to correct graph

Find the graph with point $(2,49)$.

Answer:

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