Questions: The cost for electricity varies directly with the amount of kilowatt-hours of electricity used. The cost for using 1,079 kilowatt-hours of electricity was 129.48. What was the cost for using 908 kilowatt-hours of electricity?

The cost for electricity varies directly with the amount of kilowatt-hours of electricity used. The cost for using 1,079 kilowatt-hours of electricity was 129.48. What was the cost for using 908 kilowatt-hours of electricity?
Transcript text: The cost for electricity varies directly with the amount of kilowatt-hours of electricity used. The cost for using 1,079 kilowatt-hours of electricity was $\$ 129.48$ What was the cost for using 908 kilowatt-hours of electricity?
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Solution

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Paso 1: Identificar la relación de proporcionalidad directa

La relación entre el costo de la electricidad y la cantidad de kilovatios-hora (kWh) utilizados es directamente proporcional. Esto significa que el costo \( C \) es igual a una constante \( k \) multiplicada por la cantidad de kWh \( E \):

\[ C = k \cdot E \]

Paso 2: Calcular la constante de proporcionalidad \( k \)

Sabemos que el costo de 1,079 kWh es \$129.48. Usamos esta información para encontrar \( k \):

\[ 129.48 = k \cdot 1079 \]

Despejamos \( k \):

\[ k = \frac{129.48}{1079} \approx 0.1200 \]

Paso 3: Calcular el costo para 908 kWh

Ahora que conocemos \( k \), podemos calcular el costo para 908 kWh:

\[ C = 0.1200 \cdot 908 \approx 108.96 \]

Respuesta Final

El costo por usar 908 kilovatios-hora de electricidad es:

\[ \boxed{C = \$108.96} \]

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