To determine the rate of change in the distance traveled by the fighter jet, we need to analyze the equation given:
\[ y = 19 \frac{1}{6}x - 60 \]
The term \( 19 \frac{1}{6} \) is the coefficient of \( x \) and represents the rate of change in distance with respect to time.
Converting \( 19 \frac{1}{6} \) to an improper fraction:
\[ 19 \frac{1}{6} = \frac{115}{6} \text{ miles per minute} \]
This means that for every 1 minute, the fighter jet travels \( 19 \frac{1}{6} \) miles.
Therefore, the answer that best describes the rate of change in distance traveled is:
C. For every 1 minute, a fighter jet travels 19 1/6 miles.