Answer:
![(1)/(4) lbs/person](https://img.qammunity.org/2020/formulas/mathematics/middle-school/euvb0sceiow8i8lq1k85sok09ldrwtcewh.png)
Explanation:
Here is the complete question: Find the rate of change for the situation:
A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.
Given: 1st situation, A chef cook 9 lbs chicken for 36 people.
2nd situation, chef cook 17 lbs chicken for 68 people.
∴ 1st situation, weight of chicken per person=
![(9\ lbs)/(36\ person) = (9)/(36)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ol213lrd8emtqkbf7i5frwzkxbf9g0d0ps.png)
Weight of chicken per person=
![(1)/(4) lbs/ person](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8d407k945g5t3u04m8rz8wl7u0whoyg112.png)
2nd situation, weight of chicken per person=
![(17\ lbs)/(68\ person) = (17)/(68)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/buquxb3m7st86qlpxnemaxzobwn2ad0p2m.png)
Weight of chicken per person=
![(1)/(4) lbs/ person](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8d407k945g5t3u04m8rz8wl7u0whoyg112.png)
In both the situation chef cook same amount of chicken per person, which is
![(1)/(4) lbs/ person](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8d407k945g5t3u04m8rz8wl7u0whoyg112.png)
∴ Rate of change is
![(1)/(4) lbs/ person](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8d407k945g5t3u04m8rz8wl7u0whoyg112.png)