Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

P=(19)/(2)+(4)/(25)d
The amount of paint,
P, in pints, that an art studio can buy with
d dollars is given by the equation. What is the best interpretation of
(4)/(25) as shown in the equation?
Choose 1 answer:
(A) The paint costs
(4)/(25) of a dollar per pint.
B) One dollar can buy
(4)/(25) of a pint of paint.
5 of 10

$P=\frac{19}{2}+\frac{4}{25} d$ $\newline$ The amount of paint, $P$ , in pints, that an art studio can buy with $d$ dollars is given by the equation. What is the best interpretation of $\frac{4}{25}$ as shown in the equation? $\newline$ Choose $1$ answer: $\newline$ (A) The paint costs $\frac{4}{25}$ of a dollar per pint. $\newline$ B) One dollar can buy $\frac{4}{25}$ of a pint of paint. $\newline$ $5$ of $10$

View step-by-step help

View step-by-step help

Write linear functions: word problems

Full solution

Q.

P=\frac{19}{2}+\frac{4}{25} d

\newline

The amount of paint,

P

, in pints, that an art studio can buy with

d

dollars is given by the equation. What is the best interpretation of

\frac{4}{25}

as shown in the equation?

\newline

Choose

1

answer:

\newline

(A) The paint costs

\frac{4}{25}

of a dollar per pint.

\newline

B) One dollar can buy

\frac{4}{25}

of a pint of paint.

\newline

5

of

10

Understand the equation: Understand the equation. $\newline$ The equation $P=\frac{19}{2}+\frac{4}{25}d$ represents the amount of paint $P$ in pints that can be bought with $d$ dollars. The term $\frac{19}{2}$ is a constant, which means it's a fixed amount of paint that can be bought regardless of the amount of money spent. The term $\frac{4}{25}d$ represents the variable part of the paint that can be bought, depending on how many dollars are spent.
Interpret the coefficient of $d$ : Interpret the coefficient of $d$ . The coefficient $\frac{4}{25}$ in front of the variable $d$ represents the rate at which paint can be bought per dollar. This means for every dollar spent, $\frac{4}{25}$ pints of paint can be bought.
Choose the correct interpretation: Choose the correct interpretation. $\newline$ Based on the equation, the coefficient $(4)/(25)$ is the amount of paint in pints that can be bought with one dollar. Therefore, the correct interpretation is that one dollar can buy $(4)/(25)$ of a pint of paint.

More problems from Write linear functions: 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