Functions and 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 if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph is a straight line that passes through the origin (0,0).

Front

What does it mean for a relationship to vary directly?

Back

A relationship varies directly when one quantity increases or decreases in direct proportion to another quantity.

Front

If Trina earns $187.15 for 19 hours of work, how do you find her hourly wage?

Back

Divide her earnings by the number of hours: $187.15 ÷ 19 = $9.85 per hour.

Front

What is the formula for finding speed?

Back

Speed = Distance ÷ Time.

Front

If Hadley drives 260 miles in 4 hours, what is her speed?

Back

Her speed is 65 miles per hour (260 miles ÷ 4 hours).

Front

What is a function in mathematics?

Back

A function is a relation where each input has exactly one output.

Front

How can you tell if a mapping is a function?

Back

A mapping is a function if no input is paired with more than one output.

Front

What does it mean if a graph does not touch the origin?

Back

If a graph does not touch the origin, it indicates a non-proportional relationship.

Front

If $70 is earned in 5 hours, how much is earned in 22 hours?

Back

$308 (Set up a proportion: 70/5 = x/22).