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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 $55$ 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. $\newline$ Complete the equation for the relationship between the number of pages left and number of hours. $\newline$ $y=$ $\square$

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Write a linear function: word problems

Full solution

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

y

represent the number of pages left to read after

x

hours.

\newline

Complete the equation for the relationship between the number of pages left and number of hours.

\newline

y=

\square

Determine total number of pages: Determine the total number of pages in the book. $\newline$ Naoya reads at a rate of $55$ pages per hour and after $4$ hours, he has $350$ pages left. To find the total number of pages in the book, we need to add the number of pages he has already read to the number of pages left. $\newline$ Pages read in $4$ hours = $55$ pages/hour $\times$ $4$ hours = $220$ pages $\newline$ Total pages in the book = Pages already read + Pages left $\newline$ Total pages = $220$ pages + $350$ pages = $4$ $0$ pages
Calculate pages read in $4$ hours: Write the equation for the number of pages left after $x$ hours. $\newline$ Since Naoya reads $55$ pages per hour, the number of pages he reads after $x$ hours is $55x$ . The total number of pages in the book is $570$ , so the number of pages left after $x$ hours is the total number of pages minus the number of pages read. $\newline$ Number of pages left after $x$ hours = Total pages - Pages read after $x$ hours $\newline$ $y = 570 - 55x$

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