Problema Solution
For the nonextreme weather months, a company charges $5.10 plus 3.747 cents per kilowatt-hour (kWh) for customers using up to 1500 kWh, and charges $61.305 plus 5.788 cents per kWh above 1500 for customers using more than 1500 kWh.
a) Write the function that gives the monthly charge in dollars as a function of the kilowatt-hours used.
b) What is the monthly charge if 950 kWh are used?
(Type an integer or a decimal rounded to two decimal places as needed.)
c) What is the monthly charge if 1790 kWh are used?
Answer provided by our tutors
a)
For x <= 1500 kWh
f(x) = 5.10 + 0.03747x
For x < 1500 kWh
f(x) = 61.305 + 0.05788x
b)
x = 950 kWh
f(950) = 5.10 + 0.03747*950
f(950) = $40.70
The monthly charge for 950 kWh is $40.70.
c)
x = 1790 kWh
f(1790) = 61.305 + 0.05788*1780
f(1790) = $164.33
The monthly charge for 1790 kWh is $164.33.