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Chapter 10: Problem 14

The Zlotnick family pays \(\$ 223\) per month for electricity under balanced billing. At the end of the year, they had used more electricity than the balanced billing covered, and they owed the utility company \(x\) dollars. Express their total electricity expenses for the year algebraically.

Short Answer

Expert verified
Total electricity expenses for the year for the Zlotnick family is given by the expression: \(223\times12 + x\).

Step by step solution

01

Calculate the Total Balanced Billing for the Year

To find out the total balanced billing for the year, simply multiply the monthly bill by the total number of months in a year. This means it will be 223 (monthly balanced bill) times 12 (total number of months in a year). So, it can be expressed algebraically as: \(223\times12\).
02

Add the Extra Bill Amount Owed

From the problem, it is known that there was an additional electricity bill amount that the Zlotnick family had to pay which is given as x. To find the total electricity expense of the Zlotnick family for the year, simply add the amount owed at the end of the year to the already computed balanced billing for the year. That means it should be: \(223\times12 + x\).
03

Express the Total Expense Formula

The total electricity expenses for the year can therefore be expressed as: \(TotalExpenses = 223\times12 + x\). This represents the total electricity expenses of the Zlotnick family for the year.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Balanced Billing
Balanced billing is a system that allows households to stabilize their monthly payments for utilities, such as electricity, by averaging the costs over a year. This means, instead of paying different amounts each month based on actual usage, a household pays a fixed monthly amount.
This approach can be beneficial as it helps in budgeting by preventing sudden spikes in monthly expenses due to seasonal changes in electricity use.
  • For example, during peak summer or winter, electricity usage may soar due to air conditioning or heating needs, but with balanced billing, these fluctuations are averaged out over the year.
  • If at the year's end, the family used more electricity than what was anticipated under the balanced billing agreement, they might owe an additional amount to the utility company.
Balanced billing aims to provide a smoother financial planning experience by spreading out costs evenly throughout the year.
Annual Expenses
Annual expenses refer to the total amount of money spent over the course of a year. In the case of electricity, it means summing up all the monthly payments, under balanced billing, alongside any extra charges incurred.
For the Zlotnick family, calculating their annual electricity expense means multiplying their monthly payment by 12 months and adding any extra amount owed.
  • The monthly balanced bill is constant at $223.
  • Thus, to find the base annual payment, we multiply: \(223 \times 12\).
Once the result is found, adding any additional costs, \(x\), gives the total annual expense.By understanding and calculating annual expenses, families can manage their finances better and prepare for potential unexpected costs.
Electricity Expense Calculation
The calculation of electricity expenses involves determining how much a household spends on electricity over a specific period, often annually. For the Zlotnick family, we do this by taking their consistent monthly payment and accounting for any deviations by year-end. First, determine the total balanced billing cost:
  • Monthly payment: $223.
  • Total for a year without any extra charges: \(223 \times 12\).
Next, incorporate any additional costs:
  • Let \(x\) be the extra amount owed.
  • Total annual cost is then: \(223 \times 12 + x\).
Understanding how to calculate electricity expenses is crucial as it aids in budgeting and ensures there are no surprises when the utility bill arrives at the end of the year.

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Most popular questions from this chapter

The Smithtown Water Company uses water meters that measure water usage in gallons. They charge \(\$ 0.12\) per gallon of water. If Jack's previous meter reading was \(45,6621\) gallons and his present water reading is \(46,555\) gallons, what is the amount of his water bill?

A consumer budgets \(480 per month for transportation. She has determined that the cost of a round-trip train ride is \)4 and the cost of each round-trip car ride (factoring in gas, oil, etc.) is \(3. a. Write a budget line equation for this situation. b. Construct the budget line graph that models this situation. c. What do the points on the budget line represent? d. What do points below the budget line represent? e. Suppose that the budgeted amount increases to \)516. Construct the new budget line and the old budget line on the same axes. f. What does the region in between the two lines represent?

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The Zwerling family installed central air conditioning in their house this summer. They are compring the electric bills of this summer and last summer. The data is shown. $$\begin{array}{|c|c|c|}\hline \text { Month } & {\text { This Summer }} & {\text { Last Summer }} \\ \hline \text { June } & {\$ 311.20} & {\$ 179.90} \\\ {\text { July }} & {300.65} & {\$ 203.40} \\ {\text { August }} & {302.50} & {\$ 201.11}\end{array}$$ a. What was the total electric bill this summer? b. What was the total electric bill last summer? c. Did the bill increase more or less than 50\(\%\) ?

Under his household expense budget category, Mark has allocated \(\$ 60\) per month for pet food. He can purchase wet food in a can for \(\$ 1.50\) per can or dry food in a bag for \(\$ 3\) per bag. a. Determine a budget line equation for this situation. b. Graph the budget line that will depict the different combinations of cans and bags that Mark can purchase while still remaining within his budget. c. Name a combination of bags and cans that will allow him to d. Name a combination of bags and cans that will keep him under budget. e. Name a combination of bags and cans that will cause him to be over budget.
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