Slope Intercept Word Problems Challenge

The video tutorial covers the concept of linear equations and their application in real-world scenarios. It begins with an introduction to key vocabulary such as 'slope' and 'rate of change'. The instructor then provides four examples: plant growth, weight loss, savings account growth, and population growth, demonstrating how to model these situations using linear equations. Each example includes a step-by-step process to identify the starting point and rate of change, and how to graph the equation. The tutorial emphasizes understanding and applying these concepts to solve practical problems.

What does the term 'rate of change' refer to in the context of linear equations?

• Intercept

• Variable

• Slope

• Constant

In the equation y = mx + b, what does 'b' represent?

• Variable

• Slope

• Rate of change

• Starting point

If a plant grows 1.5 cm per day and starts at 5 cm, what will its height be after 20 days?

• 35 cm

• 30 cm

• 25 cm

• 40 cm

In the context of graphing, what does the 'x' axis typically represent?

• Time

• Money

• Height

• Weight

If Thompson starts at 260 pounds and loses 4 pounds per month, what is the equation representing his weight over time?

• y = 4x + 260

• y = 260 - 4x

• y = 260x - 4

• y = -4x + 260

How many months will it take for Thompson to reach his goal weight of 220 pounds?

• 8 months

• 12 months

• 5 months

• 10 months

If Paul starts with $350 and saves $150 per month, what is the equation representing his savings over time?

• y = 150x + 350

• y = 350x + 150

• y = 150 + 350x

• y = 350 + 150x

After how many months will Paul have saved more than $2000?

• 12 months

• 10 months

• 11 months

• 13 months

In the equation y = 750x + 3000, what does '750' represent?

• Total population

• Time in years

• Rate of population increase

• Starting population

If the population of a village increases by 750 people per year, how many years will it take for the population to exceed 50,000?

• 75 years

• 65 years

• 60 years

• 70 years