Rock Hauling Function Analysis

The video tutorial explains how to model a rock-moving scenario using a linear function. It covers the function's slope-intercept form, graphing, and the significance of vertical and horizontal intercepts. The tutorial also calculates specific function values and discusses the practical domain and range, providing a comprehensive understanding of the problem and its mathematical representation.

What is the total weight of decorative rock delivered to the house?

• 10,780 pounds

• 7,000 pounds

• 55 pounds

• 385 pounds

Tags

CCSS.3.MD.A.2

How many pounds of rock does each wheelbarrow hold?

• 780 pounds

• 100 pounds

• 55 pounds

• 385 pounds

Tags

CCSS.8.EE.B.5

What is the slope of the linear function representing the rock hauling?

• -385

• 55

• 10,780

• 7

Tags

CCSS.8.EE.B.5

What does the y-intercept of the function represent?

• The initial amount of rock in the driveway

• The weight of each wheelbarrow load

• The time taken to move all the rock

• The rate of rock removal

What is the vertical intercept of the function as an ordered pair?

• (28, 0)

• (0, 10,780)

• (7, 8,085)

• (0, 385)

Tags

CCSS.HSF.LE.B.5

What does the horizontal intercept of the function indicate?

• The initial amount of rock

• The time when all rock is moved

• The rate of rock removal

• The weight of each wheelbarrow load

Tags

CCSS.6.EE.B.7

How many hours will it take to move all the rock at the given pace?

• 28 hours

• 385 hours

• 7 hours

• 55 hours

Tags

CCSS.HSF.IF.A.2

What is the value of r(7) in the context of the problem?

• 0 pounds

• 385 pounds

• 8,085 pounds

• 10,780 pounds

What is the practical domain of the function?

• 0 to 28 hours

• 0 to 10,780 pounds

• 0 to 385 pounds

• 0 to 7 hours

What is the practical range of the function?

• 0 to 385 pounds

• 0 to 10,780 pounds

• 0 to 7 hours

• 0 to 28 hours