Concept explainers
To write: A mathematical expression for the quantity described verbally.
The required mathematical expression is
Given data:
The verbal expression states: ‘Actual cost of an item selling for x dollars, if the sales tax rate is 8.75%.’
Method/Formula used:
Convert verbal expression into mathematical expression by assume base value x or any other variable.
Calculations:
The given statement has two parts, (1) the item is sold for $ x , (2) with an additional tax of 8.75 %. Let y be the actual price of the time. The sale price ‘ y’ dollar is the base number.
Denote the mathematical expression for sale price x after a levy of tax of 8.75% on the actual price y of the item. Then the expression x has the value,
Solve, further for y :
Multiply both sides by
Thus, the actual price y of the item is
Therefore, the mathematical expression
Chapter 1 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
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