Exploring Proportionality and Linear Relationships

The video tutorial covers proportional and non-proportional relationships, focusing on calculating the constant of proportionality and writing equations. It includes examples such as movie ticket costs, mango prices, calories burned, and toy car collections. The tutorial also explains how to analyze graphs and tables to determine linear equations, emphasizing the differences between proportional and non-proportional relationships.

What is the constant of proportionality when the total cost for 3 tickets is $45?

• $135 for 3 tickets

• $15 per ticket

• $90 for 6 tickets

• $30 per ticket

How much does one pound of mangoes cost if 4 pounds cost $8.60?

• $2.15

• $4.30 for 2 pounds

• $34.40 for 16 pounds

• $17.20 for 8 pounds

How many calories are burned per push-up if 18 push-ups burn 6 calories?

• Three calories

• One calorie

• One third of a calorie

• Six calories

What is the constant of proportionality for a train traveling 40 miles per hour?

• 30

• 10

• 120

• 40

Which equation represents a non-proportional relationship?

• y = 2x

• y = x + 1

• y = kx

• y = mx + b

What is the starting value in Jeremy's toy car collection equation?

• 22 toy cars

• 7 toy cars

• 0 toy cars

• 15 toy cars

What is the y-intercept in the equation y = 7x + 15?

• 0

• 22

• 7

• 15

Which equation correctly represents the linear relationship in the given table?

• y = 2x + 7

• y = 3x - 5

• y = -5x + 3

• y = -x - 8

What is the rate of change in the graph where the line crosses the y-axis at -2?

• Two-thirds

• Three-fourths

• One-half

• One-third

Which equation best represents the relationship between X and Y in the graph with a negative slope?

• y = -3x + 4

• y = 3x - 4

• y = 3x + 4

• y = -3x - 4