Math 8.4BC

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

How do you find the unit rate from a graph?

Back

To find the unit rate from a graph, identify the change in the y-axis (output) and the change in the x-axis (input). Divide the change in y by the change in x to get the unit rate.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis. It represents the value of the dependent variable when the independent variable is zero.

Front

How do you identify the y-intercept from a table?

Back

To identify the y-intercept from a table, look for the row where the independent variable (usually x) is zero. The corresponding value of the dependent variable (usually y) is the y-intercept.

Front

What is the significance of the y-intercept in real-life scenarios?

Back

In real-life scenarios, the y-intercept can represent the starting point or initial value of a situation before any changes occur.

Front

If a hiker starts at a height of 360 feet, what does this indicate on a graph?

Back

This indicates that the y-intercept of the graph is (0, 360), meaning at time zero, the hiker is at a height of 360 feet.

Front

How do you calculate the unit rate of money earned per hour?

Back

To calculate the unit rate of money earned per hour, divide the total amount of money earned by the total number of hours worked.

Front

What is the formula for finding the slope of a line on a graph?

Back

The slope (m) is calculated using the formula m = (change in y) / (change in x) between two points on the line.

Front

What does a slope of 0 indicate about a line on a graph?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

What does a positive slope indicate about a relationship between two variables?

Back

A positive slope indicates a direct relationship, meaning as one variable increases, the other variable also increases.