CONSTANT RATE AND LINEAR Q2

Front

What is a constant rate?

Back

A constant rate is a rate that does not change over time. It is often represented as a ratio or a unit rate, such as speed or cost per item.

Front

Define unit rate.

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity of one.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity by the number of units. For example, if 10 miles are traveled in 2 hours, the unit rate is 10 miles ÷ 2 hours = 5 miles per hour.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It has a constant rate of change.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x is 0.

Front

Solve for x: 2x + 3 = 11.

Back

x = 4.

Front

What is the formula for calculating the total cost based on unit price?

Back

Total Cost = Unit Price × Quantity.

Front

If a car travels at a constant speed of 60 miles per hour, how far will it travel in 3 hours?

Back

180 miles.

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.