Slope and Unit Rate - Georgia Milestone Review

Front

What is the definition of unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity of one item by the total quantity of another item. For example, if you have 40 dollars for 5 pounds of concrete, the unit rate is 40 ÷ 5 = 8 dollars per pound.

Front

What is the formula for slope?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on a line.

Front

What does a slope of 6 mean in a real-world context?

Back

A slope of 6 means that for every 1 unit increase in the x-direction, the y-value increases by 6 units. For example, if it represents speed, it could mean 6 feet per minute.

Front

If a car travels 120 miles in 2 hours, what is the unit rate in miles per hour?

Back

The unit rate is 120 miles ÷ 2 hours = 60 miles per hour.

Front

What is the significance of the slope in a graph?

Back

The slope indicates the steepness of the line and the direction of the relationship between the two variables. A positive slope means the variables increase together, while a negative slope means one variable decreases as the other increases.

Front

If a person can do 30 sit-ups in 5 minutes, what is the unit rate of sit-ups per minute?

Back

The unit rate is 30 sit-ups ÷ 5 minutes = 6 sit-ups per minute.

Front

What does a unit rate of 1 sit-up per day imply?

Back

It implies that the person is doing one sit-up every day, indicating a very slow progress in their fitness routine.

Front

How can you interpret a slope of 0?

Back

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

Front

What is the relationship between unit rate and slope?

Back

Unit rate is a specific type of slope that compares two quantities, often expressed in terms of 'per unit' (e.g., dollars per pound, miles per hour).