Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Maddy is carrying a 5 liter jug of sports drink that weighs
7.5kg. She wants to know how many kilograms a 2 liter jug of sports drink would weigh
(w). She assumes the relationship between volume and weight is proportional.
What is the weight of the 2 liter jug?

kg

Maddy is carrying a $5$ liter jug of sports drink that weighs $7.5 \mathrm{~kg}$ . She wants to know how many kilograms a $2$ liter jug of sports drink would weigh $(w)$ . She assumes the relationship between volume and weight is proportional. $\newline$ What is the weight of the $2$ liter jug? $\newline$ $\mathrm{kg}$

View step-by-step help

View step-by-step help

Evaluate a linear function: word problems

Full solution

Q. Maddy is carrying a

5

liter jug of sports drink that weighs

7.5 \mathrm{~kg}

. She wants to know how many kilograms a

2

liter jug of sports drink would weigh

(w)

. She assumes the relationship between volume and weight is proportional.

\newline

What is the weight of the

2

liter jug?

\newline

\mathrm{kg}

Establish Proportion: First, we need to establish the proportion between the volume of the sports drink and its weight. We know that a $5$ liter jug weighs $7.5$ kg. We can write this as a ratio: weight/volume = $\frac{7.5 \, \text{kg}}{5 \, \text{liters}}$ .
Simplify Ratio: Next, we simplify this ratio to find the weight of $1$ liter of the sports drink. To do this, we divide the weight by the volume: $\frac{7.5 \, \text{kg}}{5 \, \text{liters}} = 1.5 \, \text{kg/liter}$ .
Calculate Weight per Liter: Now that we know the weight of $1$ liter of the sports drink, we can find the weight of a $2$ liter jug by multiplying the weight per liter by $2$ liters: $1.5 \, \text{kg/liter} \times 2 \, \text{liters} = 3 \, \text{kg}$ .
Find Weight of $2$ Liter Jug: We have now calculated the weight of the $2$ liter jug of sports drink based on the assumption that the relationship between volume and weight is proportional. The weight of the $2$ liter jug is $3$ kg.

More problems from Evaluate 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 2 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 2 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 3 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