Unit 3 Lesson 8 .EE.B.5

Front

What is the unit rate/constant of proportionality?

Back

The unit rate or constant of proportionality is the ratio of two quantities that shows how much of one quantity corresponds to one unit of another quantity. For example, 40 miles in 1 hour is a unit rate.

Front

Who has the better deal: Evan bought 5 pounds of bananas for $10 or Christy bought 6 pounds of bananas for $9?

Back

Christy has the better deal because she pays less per pound.

Front

What are the ways to find the slope of a line?

Back

The slope can be found using: 1) change in y over change in x, 2) rise over run, 3) vertical change over horizontal change. All of these methods are valid.

Front

In the equation y = 14x, what is the constant of proportionality?

Back

The constant of proportionality is 14.

Front

What best describes the data on a graph that is linear but not proportional?

Back

This graph is linear and not proportional.

Front

Define 'slope' in the context of a graph.

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What does a proportional relationship look like on a graph?

Back

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

Front

How do you calculate the unit price?

Back

To calculate the unit price, divide the total price by the number of units. For example, if 5 pounds of bananas cost $10, the unit price is $10/5 = $2 per pound.

Front

What is the difference between linear and non-linear graphs?

Back

Linear graphs represent relationships with a constant rate of change, while non-linear graphs represent relationships with varying rates of change.

Front

What is a constant of proportionality in a direct variation equation?

Back

In a direct variation equation of the form y = kx, k is the constant of proportionality.