Final answer:
The function formula for this question is Remaining pages = 480 - 52t, where 't' represents the time spent reading.
Step-by-step explanation:
To find the function formula for this question, we can use the formula:
Remaining pages = Total pages - Rate * Time
Let's represent the total pages of the book as 'T', the rate at which Sarah reads as 'R', and the time she spends reading as 't'.
We are given that after reading for 1.5 hours, Sarah had 402 pages left to read. Therefore, the equation becomes:
402 = T - R * 1.5
We also know that the total pages of the book is 480. So, the function formula becomes:
402 = 480 - R * 1.5
Now, we can solve this equation to find the value of 'R'. Subtracting 480 from both sides gives:
-78 = -1.5R
Dividing both sides by -1.5 gives:
R = 52
Therefore, the function formula for this question is:
Remaining pages = 480 - 52t