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?
failed

Solution

failed
failed
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 C es igual a una constante k k multiplicada por la cantidad de kWh E E :

C=k⋅E C = k \cdot E

Paso 2: Calcular la constante de proporcionalidad k k

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

129.48=k⋅1079 129.48 = k \cdot 1079

Despejamos k k :

k=129.481079≈0.1200 k = \frac{129.48}{1079} \approx 0.1200

Paso 3: Calcular el costo para 908 kWh

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

C=0.1200⋅908≈108.96 C = 0.1200 \cdot 908 \approx 108.96

Respuesta Final

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

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

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Which of the following describe the function of pili that are often called fimbriae? Motility Prevents cell from bursting Protection Attachment to a surface
failedAnswered
Just output the content of the question, DO NOT output additional information or explanations.
failedAnswered
Max is collecting baseball cards. He has 65 that his aunt gave him for his birthday, and he buys 20 more each week. The total number y of cards that Max has after x weeks is given by which of the following equations? y=65x+20 y=x+20 y=20x+65 y=85x
failedAnswered
A random variable follows the continuous uniform distribution between 15 and 45. a. Calculate the following probabilities below for the distribution. 1. P(x ≤ 30) 2. P(x ≤ 40) 3. P(x ≤ 25) 4. P(x=27) b. What are the mean and standard deviation of this distribution? a. 1. P(x ≤ 30)= (Type an integer or decimal rounded to three decimal places as needed.) a. 2. P(x ≤ 40)= (Type an integer or decimal rounded to three decimal places as needed.) a. 3. P(x ≤ 25)= (Type an integer or decimal rounded to three decimal places as needed.) a. 4. P(x=27)= (Type an integer or decimal rounded to three decimal places as needed.) b. The mean of this distribution is . (Type an integer or decimal rounded to two decimal places as needed.)
failedAnswered
Problem 3: Antarctica is roughly semicircular, with a radius of r:=2000 km. The average thickness of its ice cover is hi:=3000 m. How many cubic centimeters of ice does Antarctica contain? (Ignore the curvature of Earth.) Think of Antarctica as a half slice of a flat cylinder, where the slice is along the radius of the cylinder.