Proportional Relationships and Rates

The video tutorial covers representing proportional relationships with equations. It begins with an introduction to proportional relationships and equations, followed by a practical example involving car fuel consumption. The tutorial explains how to write equations to relate miles driven to gallons of gas and determine travel distance with given fuel. Another example features Andrea's portraits, analyzing the relationship between time spent and portraits drawn using proportionality.

What is the formula used to represent proportional relationships?

• y = k + x

• y = k * x

• y = k / x

• y = k - x

In the car fuel consumption example, what is the constant of proportionality?

• 14 miles per gallon

• 30 miles per gallon

• 28 miles per gallon

• 26 miles per gallon

If a car travels 28 miles on one gallon of gas, how far can it travel on half a gallon?

• 28 miles

• 21 miles

• 14 miles

• 7 miles

What equation relates miles driven to gallons of gas?

• M = 28 + G

• M = 28 * G

• M = 28 - G

• M = 28 / G

How many miles can a car travel on 18 gallons of gas using the equation M = 28 * G?

• 450 miles

• 480 miles

• 540 miles

• 504 miles

In Andrea's portraits example, what is the independent variable?

• Number of tourists

• Time spent drawing

• Number of portraits

• Number of pencils used

How many portraits can Andrea draw in 4 hours?

• 3 portraits

• 6 portraits

• 9 portraits

• 12 portraits

What is the unit rate of portraits drawn per hour?

• 1 portrait per hour

• 1.5 portraits per hour

• 2 portraits per hour

• 2.5 portraits per hour

If Andrea draws 9 portraits in 6 hours, what is the constant of proportionality?

• 2

• 3

• 1.5

• 2.5

Which equation represents the relationship between portraits drawn and time spent?

• N = 1.5 * T

• N = 2 * T

• N = 3 * T

• N = 2.5 * T