Solving Problems with Direct and Inverse Proportionality

The video tutorial covers the concepts of direct and inverse proportion. Direct proportion is explained using the example of coffee pricing, where the cost increases at a constant rate per unit. Inverse proportion is illustrated with a manpower example, where increasing workers decreases the time to complete a task. The tutorial details how to solve problems involving both types of proportion by determining the constant of proportionality and forming equations. Key steps include substituting values and solving for the constant to use in equations.

What is the constant of proportionality in the example of coffee pricing?

• £2.50

• £3.00

• £1.50

• £2.00

In a direct proportion equation, if p is directly proportional to t, how is the equation generally written?

• p = k + t

• p = t / k

• p = k / t

• p = k * t

If 24 is equal to k times 8 in a direct proportion problem, what is the value of k?

• 2

• 4

• 5

• 3

In inverse proportion, if p equals k over t, what does k represent?

• The divisor

• The quotient

• The denominator

• The numerator

Which of the following best describes inverse proportion?

• One value remains constant

• Both values decrease

• One value increases while the other decreases

• Both values increase