Representing Mathematical Relationships with Equations and Graphs

The video tutorial covers two examples of representing mathematical relationships using equations, tables, and graphs. The first example involves calculating the remaining vegetable oil after baking a certain number of cakes, using an equation and representing the data in a table and graph. The second example models the ascent of a submarine from 45 feet below the water surface, using an equation to calculate depth over time and graphing the results. Both examples demonstrate how different representations can tell the same story.

What are the different ways of representing relationships in math mentioned in the video?

• Words, equations, tables, and graphs

• Numbers, shapes, colors, and sizes

• Letters, symbols, diagrams, and charts

• Pictures, stories, songs, and dances

In the equation v = -3c + 55, what does the variable 'c' represent?

• The number of eggs used

• The number of cups of flour used

• The number of cakes baked

• The amount of vegetable oil remaining

Using the equation v = -3c + 55, how much vegetable oil is remaining after baking 12 cakes?

• 19

• 22

• 16

• 25

What is the ordered pair for 10 cakes and the corresponding amount of vegetable oil remaining?

• (10, 16)

• (10, 25)

• (10, 22)

• (10, 19)

What is the starting depth of the submarine in the second example?

• 45 feet below the surface

• 10 feet below the surface

• 45 feet above the surface

• 10 feet above the surface

What does the variable 'x' represent in the submarine depth equation?

• Rate of ascent

• Starting depth

• Depth

• Time in minutes

Using the equation y = -45 + 10x, what is the depth after 2 minutes?

• -25 feet

• 0 feet

• -35 feet

• -15 feet

What is the depth of the submarine after 3 minutes of ascending?

• -25 feet

• -15 feet

• 0 feet

• -35 feet

How many points are needed to graph a straight line?

• One

• Three

• Four

• Two

What is the rate of ascent for the submarine in feet per minute?

• 20 feet per minute

• 5 feet per minute

• 10 feet per minute

• 15 feet per minute