Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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. $\newline$ $y=$ $\square$

View step-by-step help

View step-by-step help

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 $\newline$ $y = 570 - 55x$

More problems from Write a linear function: word problems

Question

This equation shows how the time required to screen-print a batch of shirts is related to the number of shirts in the batch.

\newline

t = s + 13

\newline

s

represents the number of shirts in the batch, and the variable

t

represents the time required to screen-print the shirts. How long does it take to screen-print a batch of

4

\newline

_________minutes

Posted 9 months ago

Question

Krysta wants to take piano lessons. She asked a teacher how many new pieces she could expect to learn each month. The teacher gave an estimate of

3

. Write an equation that shows how the total number of pieces Krysta would learn,

y

, depends on the number of months of piano lessons,

x

\newline

y

Posted 9 months ago

Question

Tom bought a boat for

\$3,000

and incurs a daily storage fee of

\$15

. Write a linear function to represent the total amount Tom will owe,

p(x)

x

days to pick it up.

\newline

Posted 9 months ago

Question

180

-page book cover to cover in a single session, at a constant rate. It took him

6

\newline

\newline

y

represent the number of pages left to read after

\newline

t

\newline

Which of the following information about the graph of the relationship is given?

\newline

1

\newline

\newline

x

\newline

\newline

y

\newline

(C) Slope and a point that is not an intercept

\newline

\newline

x

\newline

y

\newline

\newline

y

-intercept and a point that is not an intercept

\newline

(F) Two points that are not intercepts

Posted 10 months ago

Question

A charity organization had to sell

18

tickets to their fundraiser just to cover necessary production costs. They sold each ticket for

\$45

y

represent the net profit (in dollars) when they have sold

x

tickets. Which of the following information about the graph of the relationship is given?

\newline

1

\newline

x

\newline

y

\newline

(C) Slope and a point that is not an intercept

\newline

x

y

\newline

y

-intercept and a point that is not an intercept

\newline

(F) Two points that are not intercepts

Posted 8 months ago

Question

Hiro painted his room. After

3

hours of painting at a rate of

8

square meters per hour, he had

28

square meters left to paint.

\newline

\newline

y

represent the area (in square meters) left to paint after

\newline

x

\newline

Which of the following information about the graph of the relationship is given?

\newline

1

\newline

\newline

x

\newline

\newline

y

\newline

(C) Slope and a point that is not an intercept

\newline

\newline

x

\newline

y

\newline

\newline

y

-intercept and a point that is not an intercept

\newline

(F) Two points that are not intercepts

Posted 8 months ago

Question

Naoya read a book cover to cover in a single session, at a rate of

55

pages per hour. After

4

350

pages left to read.

\newline

y

represent the number of pages left to read after

x

\newline

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

\newline

y=

Posted 7 months ago

Question

A teacher purchased

300

colored pencils for an upcoming project. The pencils she ordered come in packs of

20

30

14

packs in all. Write a system of equations to find the number of

20

(x)

30

(y)

the art teacher ordered.

Posted 8 months ago

Question

C=0.25(L-1200)

\newline

C

, in dollars, to the holder of a liability insurance account given a total liability of

L

dollars is given by the equation as long as

C

is positive. By how many dollars does the liability increase when the cost to the holder increases by

1

Posted 8 months ago

Question

P=\frac{2}{5} m+1.5

\newline

P

, in dollars, of a train ticket used to travel a distance of

m

miles is given by the equation. By how many miles does the traveling distance increase if the ticket price increases by

1

Posted 2 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant