ACA Fall Final Review

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 find the constant of proportionality?

Back

To find the constant of proportionality, divide one quantity by the other in a proportional relationship.

Front

If a table shows values (3, 9), (4, 12), and (5, 15), is this a proportional relationship?

Back

Yes, because the ratio of y to x is constant (3:1).

Front

What is the formula to calculate speed?

Back

Speed = Distance / Time.

Front

If Travis rides 3 miles in 20 minutes, what is his speed in miles per hour?

Back

Speed = 3 miles / (20/60 hours) = 9 miles per hour.

Front

What does it mean if a graph is linear?

Back

A linear graph shows a constant rate of change, meaning the relationship between the variables is proportional.

Front

How do you determine if a table represents a linear function?

Back

If the differences between consecutive y-values divided by the differences between consecutive x-values are constant, it represents a linear function.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

If Craig earns $37 for 4 hours, what is his hourly wage?

Back

Hourly wage = $37 / 4 hours = $9.25 per hour.

Front

How do you convert minutes to hours?

Back

To convert minutes to hours, divide the number of minutes by 60.