Question

The total number of photos on Hannah's camera is a linear function when she arrived in Rome. Then she took 24 photos each day for 6 days. What is the rate change of the linear function that represent this situation

Answer 1

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

`y=24x.`

Then, at x = 0, y = 0

and

at x = 1, y = 24.

So, the rate of change is given by

`R=(y(1)-y(0))/(1-0)=(24-0)/(1-0)=24.`

Thus, the required rate of change is 24.