Evaluate the expression f(x)=100(0.8)^x for f(3) 240 100 800

To evaluate the expression $f(x)=100(0.8)^{x}$ for $f(3)$, we need to substitute $x$ with 3 in the expression.<br /><br />Step 1: Substitute $x$ with 3 in the expression.<br />$f(3) = 100(0.8)^{3}$<br /><br />Step 2: Calculate the value of $(0.8)^{3}$.<br />$(0.8)^{3} = 0.8 \times 0.8 \times 0.8 = 0.512$<br /><br />Step 3: Multiply the result from Step 2 by 100.<br />$f(3) = 100 \times 0.512 = 51.2$<br /><br />Therefore, the value of $f(3)$ is 51.2.