Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two variables in a proportional relationship, often represented as y = kx.

Front

If Ben earns $41 for 4 hours, how much does he earn per hour?

Back

$10.25 per hour.

Front

How do you find the constant of proportionality from a word problem?

Back

Divide the total amount by the number of units to find the constant of proportionality.

Front

What is the formula to calculate distance when speed and time are known?

Back

Distance = Speed × Time.

Front

If a bicyclist travels 228 miles in 12 hours, what is the speed?

Back

Speed = Distance / Time = 228 miles / 12 hours = 19 miles per hour.

Front

In the equation y = 14x, what does the '14' represent?

Back

The '14' represents the constant of proportionality.

Front

What is the relationship between hours worked and money earned in a proportional relationship?

Back

As the number of hours worked increases, the money earned increases at a constant rate.

Front

If Janet used 155 beads to create 5 necklaces, how many beads are used per necklace?

Back

31 beads per necklace.

Front

What is the equation of a line that passes through the origin with a slope of 46?

Back

y = 46x.