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, expressed as y = kx.

Front

Is the video game rental fee of $15 plus $3 per day proportional or non-proportional?

Back

Non-Proportional: The fee includes a fixed cost ($15) plus a variable cost ($3 per day), which does not maintain a constant ratio.

Front

Write an equation for the proportional relationship if y increases by $18.50 for each x.

Back

y = 18.50x

Front

If Jane mixes 3 lemons with 2 cups of water for 2 drinks, how many lemons does she need for 6 cups of water?

Back

9 lemons

Front

Determine the constant of proportionality for the equation y = 30x.

Back

The constant of proportionality is 30.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship, meaning as one quantity increases, the other increases at a consistent rate.

Front

How do you find the constant of proportionality from a table of values?

Back

Divide the value of y by the corresponding value of x for any pair of values; the result is the constant of proportionality (k).

Front

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

Back

The constant of proportionality is 4.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time at a constant speed; if you travel at 60 miles per hour, the distance (y) is proportional to time (x) as y = 60x.

Front

If a recipe calls for 2 cups of flour for 4 servings, how much flour is needed for 10 servings?

Back

5 cups of flour (using the constant of proportionality).