Week 16: Math Bridges (Proportional Relationships)

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

Define constant of proportionality (k).

Back

The constant of proportionality (k) is the constant ratio between two proportional quantities, often represented as y = kx.

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, identify the coordinates of two points on the line and calculate the ratio of y to x (y/x).

Front

If Kate earns $14 for every hour she works, what is the constant of proportionality?

Back

The constant of proportionality is 14.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

How do you determine the amount earned based on hours worked?

Back

Multiply the number of hours worked by the constant of proportionality (k) to find the total amount earned.

Front

If Kenny types 720 words in 18 minutes, how many words does he type per minute?

Back

Kenny types 40 words per minute (720 words / 18 minutes).

Front

What is the missing number in a proportional table if the ratio is consistent?

Back

The missing number can be found by maintaining the same ratio as the other entries in the table.

Front

How do you write an equation from plotted points on a graph?

Back

To write an equation from plotted points, find the slope (rise/run) and use the point-slope form to derive the equation.

Front

What does the point (0, 0) represent in a proportional relationship?

Back

The point (0, 0) represents the origin, indicating that when no hours are worked, no money is earned.