Pregunta
upstudy study bank question image url

Cost of Gasoline In September 2016, the cost of gasoline in Berlin was around 1.2 euros per liter. What would the equivalent cost be in U.S. dollars per gallon? 1 U.S. dollar '~~" 0.896 euros 1 gallon `~~ 3.785 liters The equivalent cost would be \( \$ \) \( \square \) per gallon.

Ask by Ortiz Cox. in the United States
Feb 07,2025

Solución de tutoría real

Respuesta verificada por el tutor

Responder

The equivalent cost of gasoline is approximately \$0.35 per gallon.

Solución

To find the equivalent cost of gasoline in U.S. dollars per gallon, we need to convert the cost from euros per liter to U.S. dollars per gallon. Given: - Cost of gasoline in Berlin in September 2016 = 1.2 euros per liter - 1 U.S. dollar = 0.896 euros - 1 gallon = 3.785 liters First, let's convert the cost from euros per liter to U.S. dollars per liter: \[ \text{Cost in U.S. dollars per liter} = \frac{1.2 \text{ euros}}{0.896 \text{ euros/U.S. dollar}} \] Next, we'll convert the cost from U.S. dollars per liter to U.S. dollars per gallon: \[ \text{Cost in U.S. dollars per gallon} = \frac{\text{Cost in U.S. dollars per liter}}{3.785 \text{ liters/gallon}} \] Now, let's calculate the equivalent cost in U.S. dollars per gallon. Calculate the value by following steps: - step0: Calculate: \(\frac{1.2}{0.896}\) - step1: Convert the expressions: \(\frac{\frac{6}{5}}{\frac{112}{125}}\) - step2: Multiply by the reciprocal: \(\frac{6}{5}\times \frac{125}{112}\) - step3: Reduce the numbers: \(3\times \frac{25}{56}\) - step4: Multiply: \(\frac{3\times 25}{56}\) - step5: Multiply: \(\frac{75}{56}\) The cost of gasoline in U.S. dollars per liter is approximately 1.339 euros. Now, let's calculate the equivalent cost in U.S. dollars per gallon: \[ \text{Cost in U.S. dollars per gallon} = \frac{1.339 \text{ U.S. dollars per liter}}{3.785 \text{ liters/gallon}} \] Calculate the value by following steps: - step0: Calculate: \(\frac{1.339}{3.785}\) - step1: Convert the expressions: \(\frac{\frac{1339}{1000}}{\frac{757}{200}}\) - step2: Multiply by the reciprocal: \(\frac{1339}{1000}\times \frac{200}{757}\) - step3: Reduce the numbers: \(\frac{1339}{5}\times \frac{1}{757}\) - step4: Multiply the fractions: \(\frac{1339}{5\times 757}\) - step5: Multiply: \(\frac{1339}{3785}\) The equivalent cost of gasoline in U.S. dollars per gallon is approximately $0.3537 per gallon.

Revisado y aprobado por el equipo de tutoría de UpStudy

error msg
Explicar
Simplifique esta solución

Extra Insights

To convert the cost of gasoline from euros to dollars and liters to gallons, we can start by calculating the cost per gallon. Since there are 3.785 liters in a gallon and the price is 1.2 euros per liter, the cost in euros per gallon is approximately \( 1.2 \, \text{euros/liter} \times 3.785 \, \text{liters/gallon} \approx 4.54 \, \text{euros/gallon} \). Now, to convert that amount into U.S. dollars, we can use the exchange rate of 1 U.S. dollar being approximately 0.896 euros. Therefore, we divide \( 4.54 \, \text{euros/gallon} \) by 0.896 to find the cost in dollars: \( 4.54 / 0.896 \approx 5.06 \, \text{USD/gallon} \). So the equivalent cost would be approximately \( \$5.06 \) per gallon. For a fun piece of trivia: Did you know that the price of gasoline can vary significantly even within the same city? Factors like proximity to refineries, transportation costs, and local taxes can affect prices at different gas stations. So, it's always a good idea to shop around for the best deal! Also, in case you ever wonder why gasoline is commonly sold in gallons instead of liters in the U.S., it’s rooted in history. The gallon measurements were established long before metric units were common, and even though the country has adopted some metric standards, gallons have stuck around, much to the confusion of metric-loving visitors!

preguntas relacionadas

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad