Electricity Costs. The monthly service charge for electricity for a residential customer who is using the local electric utility’s Two Period Plan is $4.10. There is a charge of $0.148 per kilowatt hour (kWh) of electricity used during “on peak” hours in a month (x1), and a charge of $0.046 per kWh of electricity used during “off peak” hours in a month (x2). Let y denote the cost of electricity during a month. a. Obtain the equation that expresses y in terms of x1 and x2. b. Find the y-intercept, b0, and partial slopes, b1 and b2, of the linear equation in (a). c. Find the cost for a customer who uses 200 kWh of electricity during “on peak” hours and 800 kWh of electricity during “off peak” hours during a month.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Electricity Costs. The monthly service charge for electricity for a residential customer who is using the local electric utility’s Two Period Plan is $4.10. There is a charge of $0.148 per kilowatt hour (kWh) of electricity used during “on peak” hours in a month (x1), and a charge of $0.046 per kWh of electricity used during “off peak” hours in a month (x2). Let y denote the cost of electricity during a month.
a. Obtain the equation that expresses y in terms of x1 and x2.
b. Find the y-intercept, b0, and partial slopes, b1 and b2, of the linear equation in (a).
c. Find the cost for a customer who uses 200 kWh of electricity during “on peak” hours and 800 kWh of electricity during “off peak” hours during a month.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
