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 in terms of , the number of kilowatt-hours used, is:
Let me know if you'd like further details or explanations! Here are some related questions:
- How would the equation change if the base charge increased?
- What happens to the monthly charge if no kilowatt-hours are used?
- How would you calculate the cost for 500 kilowatt-hours used?
- How would this equation change if the charge per kilowatt-hour was in dollars instead of cents?
- 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