Answer:
Both functions have negative rate of change.
Step-by-step explanation:
Let us consider each option one by one.
Option 1: Both camera starts with the same number of shots
It is given that Hannah started with 27 shots on her camera and if look at Jayna's graph we can see that Jayna started with 40 shots. So option 1 is not true.
Option 2: Hannah takes more photos per day than Jayna does
It says Hannah takes 3 photos a day and if we look at Jayna's graph, each day her number of shots get reduced approximately by 4. So Jayna is taking more pictures than Hannah, therefore, option 2 is not true.
Option 3: After 4 days Hannah has more shots left than Jayna.
Hannah takes 3 shots a day, so she will take [tex]3 \times 4 = 12[/tex] shots in 4 days. So Hannah is left with [tex]27-12=15[/tex] shots after 4 days.
If we look at the graph, after 4 days Jayna has left with about 24 shots which is more than Hannah. So option 3 is not true either.
Option 4: Both functions have a negative rate of change
It is true that both functions have a negative rate of change. Since rate of change in this case is,
[tex]\frac{f-i}{t}[/tex], where 'f' stands for the number of shots left, 'i' stands for the number of shots they started with, and 't' stands for the time duration.
In both the cases the difference between final and initial value is negative (since they started with more number of shots but finally they are left with less number of shots) so the rate of change is negative.
Therefore, option 4 is true. Both functions have negative rate of change.
