Write the function's formula.

Question

Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350pages left to read. Let P(t)P(t)P, left parenthesis, t, right parenthesis denote the number of pages to read PPP as a function of time ttt (measured in hours).

Answer 1

The reading rate as a function of time is simply:

P(t) = 55 pages per hour

P(t) = 55t

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The time it will take to finish the 350 pages left to read:

t = (350 pages) ÷ (55 pages per hour) = 6 20/55 hours

= 6 4/11 hours

 

4/11 of an hour = (4/11)(60 mins per hour) = 21 9/11 mins

 

9/11 mins = (9/11)(60 secs per min) = 49 secs

 

Given a nonstop reading without breaks at a speed of

55 pages per hour it will take another 6 hours 21 mins 49 secs

to finish the last 350 pages.

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If you want to determine the total number of pages

in the book:

Total pages T is found by:

 

T = 55(4) + 350 = 570 pages in the book

 

But, as Mark M. said..."What is your question?"