To find the y-intercept of the exponential function \( y = 0.5(6)^x \), we need to evaluate the function at \( x = 0 \).
Substituting \( x = 0 \) into the equation:
\[ y = 0.5(6)^0 \]
Since any number raised to the power of 0 is 1:
\[ y = 0.5(1) = 0.5 \]
Thus, the y-intercept of the function \( y = 0.5(6)^x \) is \( 0.5 \).
Correct response: 0.5