Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, indicating how one quantity changes in relation to another.

Front

Identify the constant of proportionality in the equation y = 3x.

Back

k = 3

Front

Identify the constant of proportionality in the equation y = 5x.

Back

k = 5

Front

If y = kx, what does k represent?

Back

k represents the constant of proportionality between y and x.

Front

A recipe calls for 2 cups of flour for every 4 cups of sugar. What is the constant of proportionality?

Back

k = 1/2 (for flour per sugar).

Front

If the cost (y) of 10 apples is $5, what is the constant of proportionality?

Back

k = 0.5 (cost per apple).

Front

Write an equation that represents the relationship between the distance (d) and time (t) if the speed is 60 miles per hour.

Back

d = 60t.

Front

If the constant of proportionality is 4, what is the value of y when x = 3?

Back

y = 12 (since y = 4x).

Front

What is the unit rate of 5 miles per 2 hours?

Back

2.5 miles per hour.

Front

If y = 2x, what is the constant of proportionality?

Back

k = 2.