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 photos each day for 6 days What is the initial value of the linear function that represents this situation ?

Answer 1

44

1) The best way to tackle this question is to write that text into a Mathematical Expression.

2) So if she had already 44 photos and took 24 per day we can write the following function to model this behavior:

`P(d)=44+24d`

Note that if we plug into d, the number of days Hannah spent taking photos we can get how many of them per day."P" fo

3) In this function the initial number does not depend on how many photos per day were taken. So the initial number of photos is 44