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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 
y represent the number of pages left to read after 
x hours.
Complete the equation for the relationship between the number of pages left and number of hours.

y=

Naoya read a book cover to cover in a single session, at a rate of 5555 pages per hour. After 44 hours, he had 350350 pages left to read.\newlineLet y y represent the number of pages left to read after x x hours.\newlineComplete the equation for the relationship between the number of pages left and number of hours.\newliney= y=

Full solution

Q. Naoya read a book cover to cover in a single session, at a rate of 5555 pages per hour. After 44 hours, he had 350350 pages left to read.\newlineLet y y represent the number of pages left to read after x x hours.\newlineComplete the equation for the relationship between the number of pages left and number of hours.\newliney= y=
  1. Calculate total pages read: Determine the total number of pages Naoya read in 44 hours.\newlineNaoya reads at a rate of 5555 pages per hour. To find out how many pages he read in 44 hours, we multiply the rate by the time.\newlinePages read in 44 hours = Rate ×\times Time\newlinePages read in 44 hours = 5555 pages/hour ×\times 44 hours\newlinePages read in 44 hours = 555500 pages
  2. Determine initial total pages: Determine the initial total number of pages in the book.\newlineWe know that after reading for 44 hours, Naoya had 350350 pages left. Since he read 220220 pages in those 44 hours, we add the pages read to the pages left to find the initial total number of pages.\newlineInitial total number of pages == Pages read in 44 hours ++ Pages left after 44 hours\newlineInitial total number of pages == 220220 pages ++ 350350 pages\newlineInitial total number of pages == 570570 pages
  3. Write equation for pages left: Write the equation for the number of pages left after xx hours.\newlineLet yy represent the number of pages left to read after xx hours. Since Naoya reads 5555 pages per hour, the number of pages he reads after xx hours is 55x55x. To find the number of pages left, we subtract the pages read from the initial total number of pages.\newlineNumber of pages left after xx hours = Initial total number of pages - Pages read after xx hours\newliney=57055xy = 570 - 55x

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