Question 1

A line passes through the origin

(0, 0)

and the point

(4, 12)

on a coordinate plane. Which equation represents this proportional relationship?

Accepted Answer

Answer

Answer

Answer

Question 2

The graph of a proportional relationship is a straight line that always passes through which specific point on the coordinate plane?

Accepted Answer

Answer

Answer

Answer

Question 3

A graph represents a proportional relationship where

(0, 0)

is the number of hours worked and

(4, 12)

is the total pay in dollars. If the graph passes through the point

(5, 75)

, what is the unit rate (constant of proportionality)?

Accepted Answer

y = 3x

dollars per hour

Answer

y = 3x

dollars per hour

Answer

y = 3x

dollars per hour

Answer

y = 3x

dollars per hour

Question 4

Which of the following points must lie on the graph of the proportional relationship defined by the equation

(0, 0)

?

Accepted Answer

Answer

Answer

Answer

Question 5

Two different lines are graphed on a coordinate plane to represent proportional relationships. Line A passes through

(0, 0)

and Line B passes through

(4, 12)

. Which line has a greater constant of proportionality?

Accepted Answer

Line A

Answer

Line B

Answer

They have the same constant of proportionality

Answer

Constants of proportionality cannot be compared

Question 6

If the graph of a proportional relationship passes through the point

(0, 0)

, what does the value of

(4, 12)

represent?

Accepted Answer

The unit rate

Answer

The x-intercept

Answer

The total sum of x and y

Answer

The origin

Question 7

Which of the following descriptions best represents a proportional relationship when plotted on a coordinate plane?

Accepted Answer

A straight line that passes through the origin

(0, 0)

Answer

Any set of points that forms a straight line

Answer

A straight line that crosses the y-axis at

(0, 0)

Answer

A curved line that starts at the origin

(0, 0)

Question 8

The graph of a proportional relationship shows the cost

(0, 0)

for

(4, 12)

pounds of apples. If the point

(5, 75)

is on the graph, what is the cost of

8

pounds of apples?

Accepted Answer

Answer

Answer

Answer

Question 9

The graph of a proportional relationship contains the point

(0, 0)

. What is the slope of this line?

Accepted Answer

Answer

Answer

Answer

Question 10

Which equation represents the proportional relationship shown by a graph that passes through the point

(0, 0)

?

Accepted Answer

Answer

Answer

Answer

Question 11

A line passes through the origin

(0, 0)

and the point

(4, 12)

. Which of the following equations represents this proportional relationship?

Accepted Answer

Answer

Answer

Answer

Question 12

The graph of a proportional relationship shows the cost of apples, where the x-axis represents the weight in pounds and the y-axis represents the total cost in dollars. If the graph passes through the point

(0, 0)

, what is the unit rate (cost per pound)?

Accepted Answer

y = 3x

per pound

Answer

y = 3x

per pound

Answer

y = 3x

per pound

Answer

y = 3x

per pound

Question 13

Which of the following characteristics must be true for the graph of a relationship to be considered proportional?

Accepted Answer

The graph must be a straight line that passes through the origin

(0, 0)

.

Answer

The graph must be a straight line with a positive y-intercept.

Answer

The graph must be a horizontal line passing through

(0, 0)

.

Answer

The graph must be a curved line that passes through the origin

(0, 0)

.

Question 14

Two points on a graph representing a proportional relationship are

(0, 0)

and

(4, 12)

. What is the slope of the line, and what does it represent in the equation

(5, 75)

?

Accepted Answer

The slope is

(0, 0)

, and it represents the constant of proportionality

(4, 12)

.

Answer

The slope is

(0, 0)

, and it represents the change in distance.

Answer

The slope is

(0, 0)

, and it represents the x-intercept.

Answer

The slope is

(0, 0)

, and it represents the unit rate.

Question 15

If a graph shows a proportional relationship between the number of hours worked

(0, 0)

and the total pay in dollars

(4, 12)

, and the point

(5, 75)

is on the graph, what does the coordinate

8

represent?

Accepted Answer

The unit rate, or the hourly pay rate of

(0, 0)

per hour.

Answer

The total amount of money earned after

(0, 0)

hours.

Answer

The total number of hours worked to earn

(0, 0)

.

Answer

The x-intercept of the linear equation.

Question 16

The time it takes to print photos is proportional to the number of photos being printed. A printer can produce

(0, 0)

photos in

(4, 12)

minutes. If you were to graph this relationship with the number of minutes on the x-axis and the number of photos on the y-axis, what would be the unit rate?

Accepted Answer

y = 3x

photos per minute

Answer

y = 3x

photos per minute

Answer

y = 3x

photos per minute

Answer

y = 3x

photos per minute

Question 17

A graph represents a proportional relationship between the distance a train travels,

(0, 0)

, and the time,

(4, 12)

. If the graph passes through the point

(5, 75)

, what is the equation that relates

8

to

t

if time is on the x-axis?

Accepted Answer

Answer

Answer

Answer

Question 18

Which of the following points must lie on the graph of any proportional relationship between two variables

(0, 0)

and

(4, 12)

?

Accepted Answer

Answer

Answer

Answer

Question 19

A graph represents a proportional relationship between the number of gallons of fuel used,

(0, 0)

, and the distance traveled in miles,

(4, 12)

. The graph passes through the point

(5, 75)

, where fuel is on the x-axis and distance is on the y-axis. What point on the graph represents the unit rate?

Accepted Answer

Answer

Answer

Answer

Question 20

Two lines are graphed on a coordinate plane. Line A passes through

(0, 0)

and

(4, 12)

. Line B passes through

(5, 75)

and

8

. Which line represents a proportional relationship with a greater unit rate?

Accepted Answer

Line A, because its unit rate is

(0, 0)

units per

(4, 12)

.

Answer

Line A, because it passes through the origin.

Answer

Line B, because its unit rate is

(0, 0)

units per

(4, 12)

.

Answer

Line B, because its unit rate is

(0, 0)

units per

(4, 12)

.

Related quizzes

Related quizzes