Exploring Proportional Relationships in 8th Grade Math

This video tutorial covers understanding proportional relationships through graphing exercises. It begins with analyzing constant speed and distance-time relationships, followed by a cost analysis of blueberries using tables and graphs. The tutorial then delves into calculating slopes and determining if points lie on a line, concluding with finding equations relating x and y for a line.

If Diego jogged 2 miles in 0.2 hours, how far would he jog in 1 hour?

• 5 miles

• 10 miles

• 8 miles

• 4 miles

If Priya jogged 1 mile in 0.2 hours, what is her speed in miles per hour?

• 2 miles per hour

• 5 miles per hour

• 3 miles per hour

• 1 mile per hour

How much would 1 pound of blueberries cost if 6 pounds cost $16.50?

• $2.75

• $2.50

• $2.70

• $3.00

What is the cost of 10 pounds of blueberries if 1 pound costs $2.75?

• $30.00

• $20.00

• $25.00

• $27.50

If 40 pounds of blueberries cost $110, what is the cost per pound?

• $2.50

• $2.70

• $2.75

• $3.00

What is the slope of a line that passes through the points (-4, 1) and (4, 6)?

• 2/3

• 3/4

• 5/8

• 1/2

Which of the following points lies on the line with slope 5/8?

• (0, 3.5)

• (12, 11)

• (4, 2.875)

• (80, 50)

What is the slope of the line passing through the points (0, 3.5) and (4, 6)?

• 5/8

• 3/4

• 2/3

• 1/2

What is the equation of the line passing through the points (2, -4) and (10, 2)?

• y + 4 = 3/4(x - 2)

• y - 4 = 3/4(x + 2)

• y - 4 = 4/3(x - 2)

• y + 4 = 4/3(x + 2)

Which of the following points does not lie on the line with the equation y + 4 = 3/4(x - 2)?

• (6, -1)

• (4, 0)

• (2, -4)

• (10, 2)