Question

Naoya read a book cover to cover in a single session, at a rate of 555555 pages per hour. After reading for 444 hours, he had 330330330 pages left to read.

Answer 1

How long is the book - 550

How long did it take to read the book - 10 hours

Explanation:

khan

Answer 2

The function formula for the number of pages left to read is given by P(t)=55(10-t).

Explanation:

Given that "Naoya read a book at a rate of 55 pages per hour".

After reading book for 4 hours, he had 330 pages remaining to read.

In 4 hours, Naoya must read is given by

`(55)/(1hr)* 4hr` ( by given)

`=220`

∴ In 4 hours, Naoya must read 220 pages

From the given there were 330 pages remaining to read at the time,

The total number of pages is given by

=220+330

=550

∴ The total number of pages is 550

For each hour of reading, Naoya reads 55 pages, so the number of pages he finished reading by the "t"th hour is given by 55t

Let P(t) be the number of pages to read where P is a function of time t (measured in hours)

So the number of pages left to read is given by

P(t)=550-55t

P(t)=55(10-t)

∴ the function formula for the number of pages left to read is given by P(t)=55(10-t).