W17 - Comparing 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

How do you determine who has a higher rate of change?

Back

To determine who has a higher rate of change, compare the ratios of the two quantities. The one with the larger ratio has a higher rate of change.

Front

What does it mean if two quantities have the same rate of change?

Back

If two quantities have the same rate of change, it means they increase or decrease at the same rate, resulting in a constant ratio.

Front

How can you compare two proportional relationships using a graph?

Back

You can compare two proportional relationships using a graph by looking at the slopes of the lines. A steeper slope indicates a higher rate of change.

Front

What is the equation of a proportional relationship?

Back

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

Front

If Restaurant T serves 82 people per day, what is the equation representing the number of people served after x days?

Back

The equation is y = 82x.

Front

How do you find the constant of proportionality in a relationship?

Back

The constant of proportionality can be found by dividing one quantity by the other in the relationship.

Front

What does it mean if one person types more words per minute than another?

Back

It means that the ratio of words typed to time taken is greater for that person, indicating a higher rate of change.

Front

If Jack runs 8 more laps than Eshan in 6 minutes, what can you infer about their speeds?

Back

Jack is running faster than Eshan, as he covers more laps in the same amount of time.

Front

How can you tell which company charges less per hour for a service?

Back

You can tell by comparing the rates charged by each company; the one with the lower cost per hour is cheaper.