Final answer:
To express the cube root of the difference in prices of two products algebraically when one price is a third of the other, use the formula (∛(3p - p)).
Explanation:
Algebraic expression: Let's denote the prices of the two products as p and 3p (since one is the third of the other). The expression for the cube root of the difference in prices would be (∛(3p - p)).
Example: If one product costs [tex]$30 and the other costs $[/tex]90, the algebraic expression would be (∛(90 - 30)) = ∛60.
Application: This type of algebraic representation is useful for mathematical modeling and problem-solving in economics and finance.
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