Graphing and Interpreting Data

The video tutorial covers graphing techniques, starting with a review of graphing coordinates and ordered pairs. It then explains how to graph ratios using various examples, such as the cost of water bottles, the time taken to eat donuts, the ratio of cats to dogs, and the production of chairs over time. Each example demonstrates how to set up proportions, calculate unit rates, and plot the data on a graph, emphasizing the importance of labeling axes and understanding positive and negative values.

What is the first step in graphing an ordered pair?

• Move up and down according to the Y value

• Move left and right according to the X value

• Draw a line through the origin

• Label the axes

In the ordered pair (-1, -2), what does the -1 represent?

• The Y-coordinate

• The slope of the line

• The distance from the origin

• The X-coordinate

What is the origin in a graph?

• The highest point on the graph

• The point where the graph ends

• The midpoint of the graph

• The point where the X and Y axes intersect

How do you determine the unit rate from a ratio?

• By subtracting the second number from the first

• By multiplying the two numbers in the ratio

• By dividing the first number by the second

• By adding the two numbers in the ratio

If 3 bottles of water cost $6, how much does 1 bottle cost?

• $1

• $2

• $3

• $4

What does a straight line through the origin on a graph of a ratio indicate?

• The ratio is increasing

• The ratio is constant

• The ratio is undefined

• The ratio is decreasing

In the water bottle graph, what does the X-axis represent?

• Volume in liters

• Time in minutes

• Cost in dollars

• Number of bottles

If 3 bottles cost $6, how much do 4 bottles cost?

• $12

• $10

• $8

• $6

What is the Y-axis labeled in the water bottle graph?

• Number of bottles

• Volume in liters

• Cost in dollars

• Time in minutes

If 3 bottles cost $6, how much do 2 bottles cost?

• $2

• $8

• $4

• $6