Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation 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 two points on the line, (x1, y1) and (x2, y2), and calculate k = y/x for either point.

Front

If Johnny saved $168 over 12 months, what is his rate of savings per month?

Back

$14.00 per month.

Front

What is the formula to calculate speed?

Back

Speed = Distance / Time.

Front

If a race car driver traveled 500 miles in 3.25 hours, what is his mean rate of speed?

Back

158.7 mph.

Front

What does the point (1, 2) represent in a cost graph for a dry cleaning service?

Back

It means the dry cleaning service charges $2 per shirt.

Front

In the equation s = kp, what does 'k' represent?

Back

'k' represents the constant of proportionality, indicating how many scoops of food (s) correspond to each pound of dog weight (p).

Front

If a dog weighs 30 pounds and the constant of proportionality is 2/15, how many scoops of food should it get?

Back

4 scoops of food.

Front

What is the relationship between distance and time in a proportional relationship?

Back

In a proportional relationship, as time increases, distance increases at a constant rate.

Front

If Linda rides her bike for 1 hour and travels 12 miles, what is her speed?

Back

12 miles per hour.