Direct and Inverse Proportion Graphs

What does it mean if a graph shows neither direct nor inverse proportion?

• The relationship between the two variables does not follow a consistent pattern of increase or decrease.

• The two variables are completely unrelated.

• The graph will always be a straight line.

• The two variables increase or decrease together.

What is the constant of proportionality in inverse proportion?

• The sum of the two variables

• The difference between the two variables

• The product of the two variables, often denoted as k in the equation y = k/x

• The average of the two variables

What happens to the graph of a direct proportion if the constant of proportionality increases?

• The slope of the line becomes steeper, indicating a greater rate of increase.

• The slope of the line becomes less steep, indicating a slower rate of increase.

• The graph shifts to the left, indicating a decrease in value.

• The graph remains unchanged, regardless of the constant of proportionality.

Can a graph represent both direct and inverse proportion?

• Yes, a graph can represent both types of proportion simultaneously.

• No, a graph cannot represent both direct and inverse proportion simultaneously.

• A graph can represent direct proportion but not inverse proportion.

• A graph can represent inverse proportion but not direct proportion.

What is a real-world example of inverse proportion?

• The relationship between the speed of a vehicle and the time taken to cover a fixed distance; as speed increases, time decreases.

• The relationship between the amount of gas in a tank and the distance a car can travel; as gas decreases, distance decreases.

• The relationship between the height of a tree and the amount of sunlight it receives; as height increases, sunlight increases.

• The relationship between the number of workers on a project and the time taken to complete it; as workers increase, time decreases.

What is a real-world example of direct proportion?

• The relationship between distance and time when traveling at a constant speed.

• The amount of water in a tank and the height of the water level.

• The number of hours worked and the total pay received, regardless of the hourly rate.

• The relationship between temperature and the volume of a gas at constant pressure.

What is the significance of the origin in direct proportion graphs?

• It represents the point where both variables are zero, indicating that there is no relationship when one variable is zero.

• It shows the maximum value of one variable when the other is at its minimum.

• It indicates the average value of both variables in the graph.

• It represents the point where the two variables intersect at their highest values.

How can you identify an inverse proportion graph?

• It is a straight line that passes through the origin.

• It is a hyperbola that approaches the axes but never touches them.

• It is a circle centered at the origin.

• It is a parabola that opens upwards.

What is the constant of proportionality in direct proportion?

• The slope of the line

• The ratio of the two variables, often denoted as k in the equation y = kx

• The y-intercept of the line

• The difference between the two variables

How can you identify a direct proportion graph?

• A direct proportion graph is a straight line that passes through the origin (0,0).

• A direct proportion graph is a curved line that does not pass through the origin.

• A direct proportion graph is a horizontal line that represents a constant value.

• A direct proportion graph is a vertical line that indicates no change.