Proportional Relationships 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

Write the equation for a proportional relationship where y is the dependent variable and x is the independent variable.

Back

y = kx, where k is the constant of proportionality.

Front

If Gary worked out an average of 1.25 hours each day for a week, what equation represents the amount of time he worked out?

Back

y = 1.25x

Front

How do you find the unit rate from a distance and time?

Back

Divide the distance by the time to find the unit rate.

Front

What is the unit rate of distance to time for Kila's walk if she walked \(\frac{4}{3}\) of a mile in \(\frac{1}{6}\) of an hour?

Back

8:1

Front

What does the slope of a graph represent in a proportional relationship?

Back

The slope represents the rate of change between the two variables.

Front

If Nole bought a 12 month gym membership for $150, what is the slope of the graph in dollars per month?

Back

$12.50

Front

What is the rate of change in a table showing total price based on quantity purchased?

Back

The rate of change is the difference in total price divided by the difference in quantity.

Front

If the total price of raffle tickets increases by $5 for each additional ticket purchased, what is the rate of change?

Back

5

Front

What is the meaning of the term 'constant of proportionality'?

Back

The constant of proportionality is the constant value (k) that relates the two quantities in a proportional relationship.