Unit Rate as Slope

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per gallon).

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the quantity by the number of units. For example, if Ethan drove 75 miles using 3 gallons of gas, the unit rate is 75 miles ÷ 3 gallons = 25 miles per gallon.

Front

What does the slope of a graph represent?

Back

The slope of a graph represents the rate of change between two variables. In the context of unit rates, it shows how much one quantity changes in relation to another.

Front

If a graph has a slope of 2, what does that mean in terms of unit rate?

Back

A slope of 2 means that for every 1 unit increase in the x-axis, the y-axis increases by 2 units. This indicates a unit rate of 2.

Front

How can you identify a graph that represents a specific unit rate?

Back

You can identify a graph that represents a specific unit rate by looking for the slope of the line. The slope should match the calculated unit rate.

Front

What is the unit rate for Mrs. Soto decorating cupcakes?

Back

Mrs. Soto can decorate 5 cupcakes in 2 minutes, so the unit rate is 5 cupcakes ÷ 2 minutes = 2.5 cupcakes per minute.

Front

If Corbin can shoot 24 baskets in 3 minutes, what is his unit rate?

Back

Corbin's unit rate is 24 baskets ÷ 3 minutes = 8 baskets per minute.

Front

How do you represent a unit rate on a graph?

Back

A unit rate can be represented on a graph as the slope of a line, where the x-axis represents the independent variable and the y-axis represents the dependent variable.

Front

What is the unit rate for Haydn selling lemonade?

Back

Haydn makes $10 for every 2 glasses of lemonade, so his unit rate is $10 ÷ 2 glasses = $5 per glass.

Front

If Leslie paid $12 for 2 shirts, what is the unit rate per shirt?

Back

Leslie's unit rate is $12 ÷ 2 shirts = $6 per shirt.