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,
[tex]\frac{dy}{dx} = 44[/tex]
The rate of change of the linear function is 44.
Rate of change that represents this situation is 24 photos per day
Given :
Hannah already had 44 photos on her camera when she arrived in Rome. Then she took 24 photos each day for 6 days.
Initial number of photos on her camera is 44 photos
Rate of change is the number of photos she took every day
Rate of change is the slope . Slope is the number of photos she took every day .
From the given information , we know that she took 24 photos each day
So, the rate of change is 24 photos each day that is 24 photos per day
Rate of change that represents this situation is 24 photos per day
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