Answer:
The linear function is y = 44 + 24x
The rate of change of the linear function is 44.
Step-by-step explanation:
Hannah already had 44 photos in her camera so this is the initial value of the linear function.
She took 24 photos each day for 6 days. Which means she took:
24 x 6 = 144 photos in those 6 days.
We multiplied 24 with the number of days she took the photos so, considering 'x' as the number of days we can write '24x' to represent the number of photos she took. the linear function can be represented as:
y = 44 + 24x
To find out the rate of change, we need to differentiate this equation. So,
The rate of change of the linear function is 44.