Understanding Variables and Equations

The video tutorial covers the concept of variables in equations, focusing on independent and dependent variables. It explains how to represent equations using tables, graphs, and equations, and provides examples to illustrate these concepts. The tutorial includes a sample problem on calculating calories burned and a guided practice problem on calculating kayak rental costs.

What is the role of the independent variable in an equation with two variables?

• It is the product of the dependent variable.

• It is the sum of all variables.

• It is always equal to zero.

• It determines the value of the dependent variable.

What does the dependent variable rely on in an equation?

• The constant term

• The product of all variables

• The independent variable

• The sum of all variables

Which of the following can be used to represent the relationship between two variables?

• Only tables

• Only graphs

• Tables, graphs, and equations

• None of the above

In the equation Y = X + 2, what is the Y value when X is 3?

• 8

• 7

• 6

• 5

What is the purpose of creating a graph from an equation?

• To find the sum of variables

• To determine the constant term

• To visualize the relationship between variables

• To eliminate the need for equations

How many calories does an athlete burn in 20 minutes if the equation is C = 200 + 10m?

• 200

• 300

• 400

• 500

In the calories burned problem, what does the variable 'm' represent?

• Total calories burned

• Minutes of exercise

• Calories per minute

• Total time in hours

What is the total cost of renting a kayak for 4 hours if the equation is C = 8H + 25?

• $41

• $49

• $57

• $65

What is the initial cost of renting a kayak before adding hourly charges?

• $8

• $16

• $24

• $25

In the kayak rental problem, what does the variable 'H' represent?

• Total cost

• Number of hours

• Hourly rate

• Initial fee