Proportional Relationships and Conversions

This lesson covers comparing relationships using equations, focusing on patterns in shapes, temperature conversions, and proportional relationships in measurements. It includes analyzing cube properties and determining if equations represent proportional relationships. The lesson concludes with homework and practice problems to reinforce the concepts.

What pattern is observed in the dimensions of the rectangles as they increase?

• The length increases by one, and the height remains constant.

• The length triples, and the height doubles.

• The length and height both double.

• The length and height both decrease.

Why is the relationship between Celsius and Fahrenheit not proportional?

• Because the formula involves multiplication.

• Because the formula is linear.

• Because the formula involves addition.

• Because the formula is quadratic.

What is the constant of proportionality when converting centimeters to inches?

• 1.54

• 2.54

• 4.54

• 3.54

How many edges does a cube have?

• 12

• 16

• 8

• 6

Which formula represents a proportional relationship?

• y = 3x + 2

• y = x^2

• y = x + 5

• y = 4x

What is the form of a proportional relationship equation?

• y = kx + b

• y = x/k

• y = k/x

• y = kx

How many bytes are in a packet if each packet contains 1,500 bytes?

• 1,000

• 1,500

• 2,000

• 2,500

If 30,000 bytes are transmitted, how many packets are needed?

• 20

• 15

• 25

• 10

What is the relationship between packets and bits if each byte contains 8 bits?

• b = 1,500p

• b = 1,000p

• b = 8p

• b = 12,000p

What is the constant of proportionality when converting yards to miles?

• 1,000

• 1,760

• 1,500

• 1,200