Pope Pritchard
04/06/2023 · Senior High School
Use a Counterexample Determine if the following is statement is true or false. If false, provide a counterexample. It is impossible to increase the cost of an item by less than \( 1 \% \).
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Step-by-step Solution
La afirmación "Es imposible aumentar el costo de un artículo en menos del 1%" es falsa.
**Contraejemplo:**
Supongamos que tenemos un artículo que cuesta $100. Si aumentamos el costo en $0.50, el nuevo costo sería:
\[
100 + 0.50 = 100.50
\]
Ahora, calculemos el porcentaje de aumento:
\[
\text{Porcentaje de aumento} = \left( \frac{\text{Aumento}}{\text{Costo original}} \right) \times 100 = \left( \frac{0.50}{100} \right) \times 100 = 0.5\%
\]
Como podemos ver, hemos aumentado el costo del artículo en un 0.5%, que es menos del 1%. Por lo tanto, la afirmación es falsa.
Quick Answer
La afirmación es falsa. Ejemplo: Aumentar el costo de $100 en $0.50 da un aumento del 0.5%.
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