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The following table shows a proportional relationship between and . Write an equation to describe the relationship between and .

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Grade 8

Write and solve equations for proportional relationships

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More problems from Write and solve equations for proportional relationships

Question

Anna has a

25

-meter-long fence that she plans to use to enclose a rectangular garden of width

w

. The fencing will be placed around all four sides of the garden so that its area is

25

square meters.

\newline

Write an equation in terms of

w

that models the situation.

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Posted 10 months ago

Question

Each Christmas elf makes

x

toys in an hour.

n

elves work for

t

hours to produce

1000

toys.

\newline

Write an equation that relates

x, n

, and

t

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Posted 10 months ago

Question

A certain factory produces and sells

8000

cars per month, making a monthly net profit of

P

dollars. They sell each car for

n

dollars and it costs them

c

dollars to produce a single car.

\newline

Write an equation that relates

P

n

, and

c

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Posted 10 months ago

Question

A certain factory produces and sells

C

computers per month. It costs

x

dollars to produce a single computer, and the factory sells each computer for

y

dollars. Their monthly net profit is

10

000

dollars.

\newline

Write an equation that relates

C

x

, and

y

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Posted 10 months ago

Question

A company uses

3

trucks to deliver a total of

T

liters of cement. Each truck can transport

x

liters of cement per trip, and makes a total of

y

trips.

\newline

Write an equation that relates

T

x

, and

y

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Posted 10 months ago

Question

Dyami planted a palm tree in the back yard of his house several years ago. Initially it was

200

centimeters high and its height increased by

30

centimeters each year. Let

H

be the height of the tree in centimeters

t

years after it was planted. Which of the following best explains the relationship between

t

and

H

\newline

Choose

1

answer:

\newline

(A) The relationship is exponential because

H

increases by a factor of

30

each time

t

increases by

1

\newline

(B) The relationship is linear because

H

increases by

30

each time

t

increases by

1

\newline

H

always increases as

t

increases.

\newline

(D) The relationship is linear because

H

increases by

200

each time

t

increases by

1

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Posted 7 months ago

Question

Ehsan is having a big going-out-ofbusiness sale and he wants to advertise his sale. He starts by making a large number of advertising fliers for his sale and gives

5

of his friends many fliers. He asks each of them to give fliers to

2

of their friends the next day, and to tell each of their friends to give fliers to

2

of their friends the day after, and so on. Let

F

be the number of people who will be given fliers on day

t

. Which of the following best explains the relationship between

t

and

F

\newline

Choose

1

answer:

\newline

(A) The relationship is linear because the values of

F

always increase as the values of

t

increase.

\newline

(B) The relationship is exponential because

F

increases by a factor of

5

each time

t

increases by

1

\newline

F

increases by a factor of

5

each time

t

increases by

1

\newline

(D) The relationship is exponential because

F

increases by a factor of

2

each time

t

increases by

1

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Posted 7 months ago

Question

On a set of steps, the first step from the base of the steps is labeled

1

, the second is labeled

2

, and so on. Each step has the same height. The table below shows the step number and step's height from the base of the steps.

\newline

\begin{tabular}{cc}

\newline

Step number & Height from the base (meters) \\

\newline

\hline

50

10

\newline

90

18

\newline

110

22

\newline

\end{tabular}

\newline

Write an equation to describe the relationship between

n

, the step number, and

h

, the height from the base.

\newline

\square

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Posted 5 months ago

Question

Jeremy and Robin like to collect nickels. Jeremy has

n

nickels, and Robin has

55

nickels. Together they have a total of

100

nickels. Write an equation to describe this situation.

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Posted 2 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

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Posted 1 month ago

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