Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Addison painted her room. She had 50 square meters to paint, and she painted at a constant rate. After 2 hours of painting, she had 35 square meters left.
Let
y represent the area (in square meters) left to paint after
x hours.
Complete the equation for the relationship between the area and number of hours.

y=

Addison painted her room. She had $50$ square meters to paint, and she painted at a constant rate. After $2$ hours of painting, she had $35$ square meters left. $\newline$ Let $y$ represent the area (in square meters) left to paint after $x$ hours. $\newline$ Complete the equation for the relationship between the area and number of hours. $\newline$ $y=$

View step-by-step help

View step-by-step help

Write and solve equations for proportional relationships

Full solution

Q. Addison painted her room. She had

50

square meters to paint, and she painted at a constant rate. After

2

hours of painting, she had

35

square meters left.

\newline

Let

y

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

x

hours.

\newline

Complete the equation for the relationship between the area and number of hours.

\newline

y=

Determine area painted in $2$ hours: Determine the amount of area painted in $2$ hours. $\newline$ Addison started with $50 \text{ square meters}$ and after $2$ hours, she had $35 \text{ square meters}$ left to paint. $\newline$ Amount of area painted in $2$ hours $= \text{Initial area} - \text{Area left after 2 hours}$ $\newline$ Amount of area painted in $2$ hours $= 50 - 35$ $\newline$ Amount of area painted in $2$ hours $= 15 \text{ square meters}$
Calculate rate of painting per hour: Calculate the rate of painting per hour. $\newline$ Since Addison painted $15$ square meters in $2$ hours, her rate of painting is: $\newline$ Rate of painting = $\frac{\text{Amount of area painted}}{\text{Time taken}}$ $\newline$ Rate of painting = $\frac{15 \text{ square meters}}{2 \text{ hours}}$ $\newline$ Rate of painting = $7.5$ square meters per hour
Write equation for area left to paint: Write the equation for the relationship between the area left to paint $y$ and the number of hours $x$ . $\newline$ Since the rate of painting is constant, we can use it to find the area left to paint after any number of hours. $\newline$ Area left to paint after $x$ hours = Initial area - (Rate of painting $*$ Number of hours) $\newline$ $y = 50 - 7.5x$

More problems from Write and solve equations for proportional relationships

Question

Read the description of a proportional relationship. Every spring, Kenny plants colorful flowers in his garden. This year, he decides to plant petunias. He buys them at the garden store, brings them back home, and starts planting. There is a proportional relationship between the amount of time (in minutes) Kenny has been working in his garden,

x

, and the number of petunias he has planted,

y

. After working in his garden for

2

minutes, Kenny has planted

4

petunias. Write the equation for the relationship between

x

y

y = \_\_\_

Posted 2 months ago

Question

V=\ell w h

\newline

The formula gives the volume

V

of a right rectangular prism with length

\ell

w

h

. What is the volume, in cubic meters, of a rectangular prism that is

6

2

meters wide, and

10

Posted 4 months ago

Question

Wilmer went up the hill for

x

minutes at a speed of

y

kilometers per minute. Then he went down the same path at a speed of

z

kilometers per minute, and it took

\operatorname{him} w

minutes to do it.

\newline

Write an equation that relates

x, y

z

w

Posted 1 month ago

Question

A certain factory produces and sells

x

kilograms of ice cream per month. It costs

c

dollars to produce one kilogram of ice cream, which is then sold for

\mathbf{0 . 1 6}

dollars. The factory's monthly net profit is

P

\newline

Write an equation that relates

x, c

P

Posted 1 month ago

Question

x

delivery persons carry a total of

B

bags of groceries up the stairs. They can each carry

y

bags at a time, and they each make

2

trips up the stairs.

\newline

Write an equation that relates

x

B

y

Posted 2 months ago

Question

Fen completed a triathlon race whose total distance is

D

kilometers. First, she swam a distance of

0

5

kilometer. Then, she rode a bicycle for

x

hours at an average speed of

20

kilometers per hour. Finally, she ran for

0

5

hour at an average speed of

v

kilometers per hour.

\newline

Write an equation that relates

D

x

v

Posted 2 months ago

Question

A baker needs more than

120

minutes to let their dough rise.

\newline

Write an inequality that describes

m

, the number of minutes needed for the dough to rise.

Posted 1 month ago

Question

Ha-yoon can dive to a depth of

7

meters. Ji-woo cannot dive as deep as

\mathrm{Ha}

\newline

Write an inequality that describes

j

, the depths Ji-woo can dive to in meters.

Posted 1 month ago

Question

Richard and Jordan went to see a movie. Richard spent

m

dollars at the movie theater, and Jordan spent

\$ 12

at the movie theater. Together they spent a total of

\$ 26

\newline

Write an equation to describe this situation.

Posted 3 months ago

Question

Isabel tried to evaluate an expression step by step.

(2+8)+8

. Find Isabel's first mistake

Posted 13 hours ago