proportional word problems

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate. For example, if you earn $10 for each hour worked, your total pay is proportional to the number of hours worked.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. For example, if you pay a fixed fee plus a variable fee, like a $20 membership fee plus $2.50 per video rented, the total cost is non-proportional.

Front

Write the equation for a tank that starts with 55 gallons and fills at 8 gallons per minute.

Back

y = 8x + 55 (non-proportional)

Front

Write the equation for an attorney charging $250 for a meeting and $150 per hour.

Back

y = 150x + 250 (non-proportional)

Front

Write the equation for a video rental store with a $20 fee and $2.50 per video.

Back

y = 2.5x + 20 (non-proportional)

Front

What does it mean if a relationship is proportional?

Back

It means that as one quantity increases, the other quantity increases at a constant rate, maintaining a consistent ratio.

Front

If I get paid $10 for each hour I work, is this proportional or non-proportional?

Back

Proportional.

Front

Write the equation for a plumber charging $25 for a service call and $50 per hour.

Back

y = 50x + 25 (non-proportional)

Front

What is the fixed cost in a non-proportional relationship?

Back

The fixed cost is the initial amount charged that does not change with the quantity, such as a membership fee.

Front

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

Back

Look for a constant rate or ratio between the quantities involved, without any fixed costs.