Writing Equations from Word Problems in Proportional Relationships

What are the three basic parts of an equation with a constant?

• Constant, variable, and exponent

• Dependent variable, independent variable, and coefficient

• Constant, variable, and coefficient

• Constant, dependent variable, and independent variable

In the first word problem, what is the constant (K) representing?

• Number of hours

• Number of videos

• Videos per hour

• Hours per video

How do you differentiate between the dependent and independent variables in the first word problem?

• The dependent variable is the number of hours, and the independent variable is the number of videos.

• Both variables are independent of each other.

• Both variables are dependent on each other.

• The dependent variable is the number of videos, and the independent variable is the number of hours.

What is the equation used to calculate the number of videos produced in a given time period?

• Videos = Constant / Hours

• Videos = Hours - Constant

• Videos = Constant * Hours

• Videos = Hours / Constant

If you have 3 hours, how many videos can you produce according to the equation?

• 4.5 videos

• 6 videos

• 3 videos

• 1.5 videos

In the second word problem, what is the constant (K) for converting miles to kilometers?

• 1.6

• 0.625

• 2.5

• 1.2

What is the independent variable in the second word problem?

• Neither kilometers nor miles

• Both kilometers and miles

• Miles

• Kilometers

What is the equation used to convert miles to kilometers?

• Miles = Kilometers * 1.6

• Miles = Kilometers / 1.6

• Kilometers = Miles * 1.6

• Kilometers = Miles / 1.6

If you have 6 miles, how many kilometers is that according to the equation?

• 9.6 kilometers

• 7.2 kilometers

• 6 kilometers

• 10 kilometers

Why is creating an equation a helpful tool?

• It helps in making tables for every calculation.

• It allows you to avoid using calculators.

• It saves time by allowing you to plug in different values and get results quickly.

• It eliminates the need for understanding the problem.