Answer: The required rate of change is 24.
Step-by-step explanation: Given that the total number of photos on Hannah's camera is a linear function when she arrived in Rome.
Also, she took 24 photos each day for 6 days.
We are to find the rate of change of the linear function that represents the given function.
Let, x and y represents the number of days and the number of photos taken in x-th day, then
[tex]y=24x.[/tex]
Then, at x = 0, y = 0
and
at x = 1, y = 24.
So, the rate of change is given by
[tex]R=\dfrac{y(1)-y(0)}{1-0}=\dfrac{24-0}{1-0}=24.[/tex]
Thus, the required rate of change is 24.
