Equations for 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

If Brooke earned $34 for 4 hours of work, what is the equation showing the relationship between hours (h) and total amount earned (t)?

Back

t = 8.5h

Front

What does the equation t = 9h represent?

Back

It represents that for every hour worked (h), the total amount earned (t) is 9 times that hour.

Front

If Besian bought 6 ice cream cakes for $48, what is the equation that represents the total cost (y) of x ice cream cakes?

Back

y = 8x

Front

What is the equation that shows the relationship between gallons (g) and time (t) if g = 5t?

Back

It means that for every unit of time (t), 5 gallons (g) are produced.

Front

What does the equation C = 1.15f indicate about the cost (C) of fabric?

Back

It indicates that the cost (C) is 1.15 times the amount of fabric (f) purchased.

Front

How do you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal when comparing different pairs of values.

Front

What is the constant of proportionality in the equation y = 8x?

Back

The constant of proportionality is 8.

Front

If the total amount earned (t) is directly proportional to the hours worked (h), what can be said about the graph of this relationship?

Back

The graph will be a straight line that passes through the origin.

Front

What is the formula for finding the total cost (C) if the cost per unit is known?

Back

C = (cost per unit) * (number of units) or C = p * n.