Lesson 06: More Linear Relationships | Unit 3: Linear Relationships

Open Ended

Explain what the slope and $$y$$ -intercept mean in the situation where a graph represents the perimeter, $$y$$ , in units, for an equilateral triangle with side length $$x$$ units. The slope of the line is 3 and the $$y$$ -intercept is 0.

Open Ended

Explain what the slope and $$y$$ -intercept mean in the situation where the amount of money, $$y$$ , in a cash box after $$x$$ tickets are purchased for carnival games. The slope of the line is $$\frac14$$ and the $$y$$ -intercept is 8.

Open Ended

Explain what the slope and y-intercept mean in the situation where the number of chapters read, y, after x days. The slope of the line is 5/4 and the y-intercept is 2.

Open Ended

Explain what the slope and y-intercept mean in the situation where the graph shows the cost in dollars, y, of a muffin delivery and the number of muffins, x, ordered. The slope of the line is 2 and the y-intercept is 3.

Multiple Choice

What does the slope of the line shown by the points mean in this situation?

• The slope represents the total cost for all classes.
• The slope indicates the number of classes taken.
• The slope shows the average cost per class.
• The slope indicates the cost increase per additional class.

Multiple Choice

What does the vertical intercept mean in this situation?

• The vertical intercept shows the maximum number of classes.
• The vertical intercept indicates the variable cost per class.
• The vertical intercept represents the total revenue.
• The vertical intercept indicates the fixed cost.

Multiple Choice

A mountain road is 5 miles long and gains elevation at a constant rate. At the start of the road, the elevation is 4,800 feet above sea level. After 2 miles, the elevation is 5,500 feet above sea level. Find the elevation of the road after 5 miles.

• 6000 feet
• 7000 feet
• 5800 feet
• 6550 feet

Multiple Choice

A mountain road is 5 miles long and gains elevation at a constant rate. At the start of the road, the elevation is 4,800 feet above sea level. After 2 miles, the elevation is 5,500 feet above sea level. What is the vertical intercept and what does it represent in this situation?

• 4800 feet
• 4500 feet
• 5000 feet
• 6000 feet