Assumptions Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
A shopkeeper assumes 'each customer buys exactly one item.' Under this assumption, if 50 customers visit, how many items are sold? State one way the assumption could fail.

Solution

  1. 1
    Under the assumption, items sold = number of customers = 50.
  2. 2
    The assumption fails if some customers buy more than one item or leave without purchasing.

Answer

50Ā itemsĀ soldĀ (underĀ theĀ assumption)50 \text{ items sold (under the assumption)}
Mathematical models built on simplifying assumptions give answers that are only valid when the assumptions hold. Recognising when they might fail is essential for applying models responsibly.

About Assumptions

Statements accepted as true without proof that form the starting conditions for a mathematical argument or model.

Learn more about Assumptions ā†’

More Assumptions Examples

Example 1 easy

A student models a ball thrown upward with [formula] (height in metres, time in seconds). List three

Example 2 medium

In a proof that [formula] is irrational, the argument begins: 'Assume [formula] in lowest terms with

Example 4 medium

A theorem states: 'For all [formula], [formula] (AM-GM inequality).' Identify the key assumption and

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