Direct Variation and Dimensional Analysis

the process of including units of measurment when you compute

• proportion

• rate of change

• dimensional analysis

• complex fraction

the relationship between two variable quantities that have a constant ratio

• constant of proportionality

• direct variation

• dimensional analysis

• unit rate

Identify the direct variation equation from the following options: y = 2x

• y = 2x

• y = x^2

• y = x + 3

• y = 3x - 1

Solve the direct variation problem: If y varies directly as x, and y = 10 when x = 5, find the value of y when x = 8.

• y = 12

• y = 3

• y = 16

• y = 25

n varies directly with c. If c = 24 when n = 18, what is c when n = 22?

• 88/3

• 28

• 66/4

• 24

Y varies directly as x. If y = 12 when x = 15, what is y when x = 20?

• 4/5

• 17

• 16

• 25

If y varies directly as x, and y = 15 when x = 3, find the value of y when x = 9.

• 45

• 60

• 25

• 30

Convert 3.5 meters to centimeters using dimensional analysis.

• 35

• 3.5

• 350

• 500

Convert 500 grams to kilograms using dimensional analysis.

• 0.05 kilograms

• 0.5 kilograms

• 50 kilograms

• 5 kilograms

Apply dimensional analysis to solve the following real-life scenario: If a car travels at a speed of 60 miles per hour, how many kilometers does it travel in 3 hours?

• 400 kilometers

• 120 kilometers

• 60 kilometers

• 289.68 kilometers