MATH SOLVE

10 months ago

Q:
# Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read. Let P(t), left parenthesis, t, right parenthesis denote the number of pages to read P as a function of time t (measured in hours). Write the function's formula

Accepted Solution

A:

Answer:Naoya read 55 pages per hour, so he read 55T pages in T hours.
The total number of pages is comprised of the number of pages Naoya had already read and the number of pages that remained. We can express this with the equation B=55T+R, where:B represents the book's length
T represents the time (in hours)
R represents the number of remaining pages to read at a given time.We know that after reading for 44 hours (T=4) Naoya had 330 remaining pages to read (R=330) Let's plug these values into the equation to find the value of BB=55*4+330=550Therefore, the book is 550 pages long.To find how long it took Naoya to finish the entire book, we can plug R=0 into the equation and solve for T.550
=55T + 0
55T = 550T= 10The book is 550 pages long.
It took Naoya 10 hours to read the entire book.