---## Electric Company Charging Structure An electric company charges $12.75 per month plus $0.49 per kilowatt-hour (kWh) for the first 200 kWh used per month and $0.34 per kWh for anything over 200 kWh used. ### Questions:a. **How much is owed for using 130 kWh per month?** C = $[_____] *(Simplify your answer. Type an integer or a decimal.)*b. **How much is owed for using 250 kWh per month?**c. **Write a piecewise function, $ C(x) $, where $ C $ is the cost charged per month as a function of the monthly kilowatt-hours used, $ x $.**d. **Sketch the piecewise function.**---

Fixed cost, F=$12.75 per month.Variable cost for first 200kWh, V1=$0.49 per kWh.Variable cost for…

Answered: An electric company charges $12.75 per…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Similar questions

EX.1
A cell phone plan charges $30 per month for unlimited call and text messages, however each gigabyte (GB) of data is charged at a rate of $10 per GB. Assume that fractional values of a GB are prorated according to this rate. If a user uses more than 15 GB of data during their monthly billing cycle, then they are not charged more than the cost for the first 15 GB. Write a piecewise-defined function that describes the amount a cell phone user will pay, C, as a function of the number of GB of data they use, d, over the course of a month. (You may enter the intervals using either interval notation or as an inequality. Do not include the dollar sign in any of your answers.) Provide your answer below: The first piece of C(d) is defined in the interval The second piece is defined in the interval
A cylindrical can with no top is to be constructed for 80 cents. The cost of the material used for the bottom is 3 cents per square inch, and the cost of the material used for the curved side is 2 cents per square inch. Express the height of the can as a function of its radius. What is the height if the radius of the cylinderr 1? (Round your answer to at most two digits after the decimal) %3D
Francine throws a wrench into the air from the bottom of a trench 10 feet deep. Its height t seconds later is given, in feet, by h = -16t + 34t – 10 a. When will the wrench attain its maximum height? Round your answer to two decimal places and choose the correct units. O A. meters O B. seconds OC. hours OD. feet b. According to the function, how do you know your answer to part (b) is where the maximum height is attained and not the minimum height? O A. The leading coefficient is positive, so the graph is concave up O B. The leading coefficient is positive so that graph is concave down OC. The leading coefficient is negative, so the graph is concave down OD. The leading coefficient is negative, so the graph is concave up
Element X is a radioactive isotope such that its mass decreases by 20% every year. Ifan experiment starts out with 730 grams of Element X, write a function to representthe mass of the sample after t years, where the monthly rate of change can be foundfrom a constant in the function. Round all coefficients in the function to four decimalplaces. Also, determine the percentage rate of change per month, to the nearesthundredth of a percent.
Extreme Protection, Inc. manufactures helmets for skiing and snowboarding. The fixed costs for one model of helmet are $7900 per month. Materials and labor for each helmet of this model are $55, and the company sells this helmet to dealers for $85 each. (Let x represent the number of helmets sold. Let C, R, and P be measured in dollars.) (a) For this helmet, write the function for monthly total costs C(x). C(x) = (b) Write the function for total revenue R(x). R(x) = (c) Write the function for profit P(x). P(x) = (d) Find C(200). C(200) = Interpret C(200). O When this many helmets are produced the cost is $200. O This is the cost (in dollars) of producing 200 helmets. O For every additional helmet produced the cost increases by this much. O For each $1 increase in cost this many more helmets can be produced. Find R(200). R(200) =
Which of the following best describes the function shown below? a. Linear b. Quadratic c. Exponential Growth d. Exponential Decay

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