Finding Unit Rates from Graphs

The video tutorial explains how to find unit rates from graphs using two methods: the 1-R strategy and the dividing coordinates strategy. It begins with an introduction to unit rates, providing examples like miles per hour and years per decade. The 1-R strategy involves finding a point on the x-axis and moving to the y-axis to determine the unit rate. If a 1 is not present on the x-axis, the dividing coordinates strategy is used, which involves dividing the y-coordinate by the x-coordinate. The video also covers using proportions to find unit rates, emphasizing the importance of not dividing by zero.

What is a unit rate?

• A ratio between two quantities with both quantities being equal

• A ratio between two quantities with one quantity being zero

• A ratio between three quantities

• A ratio between two quantities with one quantity being one

If a car travels 35 miles in one hour, what is the unit rate?

• 35 miles per minute

• 35 miles per hour

• 35 miles per second

• 35 miles per day

In the One-R strategy, what is the first step?

• Find one on the y-axis

• Find one on the x-axis

• Find zero on the x-axis

• Find zero on the y-axis

What is the unit rate if the y-coordinate is 4 and the x-coordinate is 1?

• 1 month per 4 videos

• 4 videos per month

• 1 video per 4 months

• 4 months per video

Why does the One-R strategy work?

• Because it uses the definition of a fraction

• Because it uses the definition of a ratio

• Because it uses the definition of a proportion

• Because it uses the definition of a unit rate

In the Dividing Coordinates strategy, which point should you avoid?

• Any point on the line

• The point (1,1)

• The point (0,0)

• The point (2,2)

What is the unit rate if the y-coordinate is 27 and the x-coordinate is 9?

• 27 videos per month

• 1 video per month

• 9 videos per month

• 3 videos per month

What is the unit rate if the y-coordinate is 36 and the x-coordinate is 12?

• 12 videos per month

• 1 video per month

• 3 videos per month

• 36 videos per month

Why does the Dividing Coordinates strategy work?

• Because it uses the definition of a unit rate

• Because it uses the definition of a fraction

• Because it uses the definition of a proportion

• Because it uses the definition of a ratio

What is the final step in finding the unit rate using the Dividing Coordinates strategy?

• Multiply the y-coordinate by the x-coordinate

• Add the y-coordinate to the x-coordinate

• Subtract the x-coordinate from the y-coordinate

• Divide the y-coordinate by the x-coordinate