Question

the total number of photos on hannah's camera is a linear function of how long she was in rome she already had 44 photos on her camera when she arrived in rome then she took 24 photo each day for 6 days what is the rate of change of the linear function that represents this situation

Answer 1

Answer:  Linear equation will be $44+24x$

The rate of change of the linear function is 24.

Step-by-step explanation:

Since we have given that

Number of pictures she has already on her camera = 44

When she arrived in Rome, Number of photos she took each day = 24

Number of days she took for = 6 days

So, Linear equation becomes,

$24\times 6+44\\\\=144+44\\\\=188$

Hence, Linear equation will be

$44+24x$

And the rate of change of the linear function will be

$y=44+24x\\\\\frac{\partial y}{\partial x}=24$

Hence, the rate of change of the linear function is 24.