Answer:
Option D 3/16
Explanation:
Carol is cross-country skiing.
With the help of the given table we have to calculate the rate of change.
If we draw a graph for distance traveled on y-axis and tins at x-axis we find two points, ( 2, 1/6) and (3, 17/48).
Then slope of the line connecting these points will be the rate of change.
Rate of change = Slope =
![(y-y')/(x-x')](https://img.qammunity.org/2019/formulas/mathematics/high-school/satxp6sim41vqqeq5k7xwfe1vfd782x41d.png)
=
![((17)/(48)-(1)/(6))/(3-2)](https://img.qammunity.org/2019/formulas/mathematics/college/x5c5eqno8g038ta3h93mpbw9ssba0164od.png)
=
![(17-8)/(48)](https://img.qammunity.org/2019/formulas/mathematics/college/5oahj0vyxd1l76unpof7avn71fb114msk6.png)
=
![(9)/(48)=(3)/(16)](https://img.qammunity.org/2019/formulas/mathematics/college/a31i8i2fx8i0wowyx3z79qg0fbbmsalk75.png)
Option D 3/16 is the answer.