Proportional Relationships and Linear Functions

The video covers proportional relationships, starting with an introduction and a number talk on multiplication. It explains how to graph proportional relationships using tables and graphs, illustrated with examples like a car wash fundraiser. An info gap activity is included to enhance problem-solving skills. The lesson concludes with a summary and homework instructions.

What is the product of 15 and 0.5 when calculated mentally?

• 15

• 7.5

• 3.75

• 30

If Jada takes 8 steps and Noah takes 10 steps, what is the constant of proportionality?

• 5/4

• 4/5

• 3/2

• 2/3

How many steps does Noah take if Jada takes 12 steps?

• 20

• 10

• 18

• 15

What is the y-value when x is 2 in the equation y = (5/4)x?

• 5.5

• 4.5

• 3.5

• 2.5

In the car wash example, what is the constant of proportionality if 11 cars raise $93.50?

• 8.5

• 9.5

• 10.5

• 11.5

How much money is raised for 23 cars in the car wash example?

• $220.00

• $210.00

• $200.00

• $195.50

What is the equation for the relationship between calories and grams of fish if 300 calories correspond to 200 grams?

• y = (4/5)x

• y = (3/2)x

• y = (2/3)x

• y = (5/4)x

If 1,000 grams of fish correspond to how many calories?

• 2,000

• 1,800

• 1,200

• 1,500

What is the slope of a line if the y-value is greater than the x-value?

• Greater than 1

• Less than 1

• Zero

• Equal to 1

In the equation y = (3/2)x, what is the y-value when x is 1?

• 4.5

• 3.5

• 2.5

• 1.5