Math Problem Statement

Please answer the question, you do not need to provide work, just the answer.

An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 7.38 cents per kilowatt-hour to its base charge of $17.32 per month. Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used. (Let y be measured in dollars.)

Solution

The equation for the monthly charge yy in terms of xx, the number of kilowatt-hours used, is:

y=0.0738x+17.32y = 0.0738x + 17.32

Let me know if you'd like further details or explanations! Here are some related questions:

  1. How would the equation change if the base charge increased?
  2. What happens to the monthly charge if no kilowatt-hours are used?
  3. How would you calculate the cost for 500 kilowatt-hours used?
  4. How would this equation change if the charge per kilowatt-hour was in dollars instead of cents?
  5. Can this equation be modeled as a linear function?

Tip: Always make sure the units in the equation are consistent before solving or interpreting it!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

y = mx + b (slope-intercept form)

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 9-12