11/6 proportional word problems

Front

What does it mean for a relationship to be proportional?

Back

A proportional relationship means that two quantities increase or decrease at the same rate.

Front

If I spend $3.00 per day on lunch, is this a proportional relationship?

Back

Yes, it is proportional because the cost increases consistently with the number of days.

Front

A plumber charges $50.00 for a house call and $25.00 per hour for labor. Is this proportional?

Back

No, it is not proportional because the initial charge is a flat fee.

Front

What is an example of a proportional relationship?

Back

An attorney charges $100.00 an hour, which is proportional because the cost increases with each hour.

Front

If a taxi charges a flat fee of $3.00 plus $0.75 per mile, is this proportional?

Back

No, it is not proportional because of the flat fee.

Front

What is a flat fee?

Back

A flat fee is a fixed amount charged regardless of the service duration or quantity.

Front

If hamburgers cost $3.00 plus $0.50 per topping, is this proportional?

Back

No, it is not proportional because of the base cost of the hamburger.

Front

If I invite friends to lunch and it costs $5.00 for each guest, is this a proportional relationship?

Back

Yes, it is proportional because the cost increases with the number of guests.

Front

What is a constant rate?

Back

A constant rate is a fixed amount that does not change, such as $5.00 per guest.

Front

How do you identify a proportional relationship in a word problem?

Back

Look for consistent rates or ratios between quantities.