Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

marth!
POINTS
POINTS
GAME
Review
Change Assignment
d help?
First try was incorrect
Hide
S
There is a proportional relationship between the total cost (in dollars),
y, and the number of jackets Nguyen buys,
x. He purchased 17 jackets for
$136.
Graph this proportional relationship.

marth! $\newline$ POINTS $\newline$ POINTS $\newline$ GAME $\newline$ Review $\newline$ Change Assignment $\newline$ d help? $\newline$ First try was incorrect $\newline$ Hide $S$ $\newline$ There is a proportional relationship between the total cost (in dollars), $y$ , and the number of jackets Nguyen buys, $x$ . He purchased $17$ jackets for $\$ 136$ . $\newline$ Graph this proportional relationship.

View step-by-step help

View step-by-step help

Write a linear function: word problems

Full solution

Q. marth!

\newline

POINTS

\newline

POINTS

\newline

GAME

\newline

Review

\newline

Change Assignment

\newline

d help?

\newline

First try was incorrect

\newline

Hide

S

\newline

There is a proportional relationship between the total cost (in dollars),

y

, and the number of jackets Nguyen buys,

x

. He purchased

17

jackets for

\$ 136

.

\newline

Graph this proportional relationship.

Calculate cost per jacket: Figure out the cost per jacket by dividing the total cost by the number of jackets. $\newline$ $\$136 / 17$ jackets = $\$8$ per jacket.
Write total cost equation: Write the equation for the total cost $y$ in terms of the number of jackets $x$ . $y = 8x$
Plot point on graph: To graph this, start by plotting the point $(17, 136)$ since we know Nguyen bought $17$ jackets for \$\(136\).
Graph proportional relationship: Since it's a proportional relationship, the graph will be a straight line that passes through the origin \((0,0)\) and the point \((17, 136)\).

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 3 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 3 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 4 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 4 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 2 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 2 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 1 month 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 2 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 2 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 4 months ago