Calculating Your TV's Annual Energy Costs Made Easy

How much does it cost per year to run a TV that uses 10 kilowatt-hours per week, if the charge is 12 cents per kilowatt-hour?

• A. $52.16
• B. $54.24
• C. $62.40
• D. $64.80

Answer: (C)

To determine the annual cost of running a TV that uses 10 kilowatt-hours (kWh) per week, follow these calculations: 1. Calculate the total kilowatt-hours used in one year. Since the TV uses 10 kWh per week, you multiply this figure by the number of weeks in a year. There are 52 weeks in a year: \[ 10 \text{ kWh/week} \times 52 \text{ weeks/year} = 520 \text{ kWh/year} \] 2. Next, calculate the total cost by multiplying the total kilowatt-hours for the year by the cost per kilowatt-hour. The cost is 12 cents, which is equivalent to $0.12: \[ 520 \text{ kWh/year} \times 0.12 \text{ dollars/kWh} = 62.40 \text{ dollars/year} \] This result shows that the annual cost to run the TV is $62.40. Therefore, option C is correct because it accurately reflects the calculations based on the usage rate and cost per kilowatt-hour.

When it comes to understanding your electricity bill, one of the sneakiest contributors to your costs can be your home appliances—and your TV is no exception. So, how exactly do you calculate how much it costs to run that trusty screen of yours? Let’s break it down in a way that’s not just clear, but also engaging.

You know what? If you're one of those people who enjoy binge-watching their favorite shows, knowing how much it costs to run your TV can be an eye-opener. For illustration, let’s consider a TV that uses 10 kilowatt-hours (kWh) per week. If you’re looking at this from a budgeting angle, you might be curious—how does that translate to annual costs?

First off, we need to get a handle on the annual usage. Since there are 52 weeks in a year (well, at least in most years), you’d multiply the weekly kWh usage like this:

10 kWh/week × 52 weeks/year = 520 kWh/year.

Now that gives you a clear picture of your yearly consumption. But wait! We can't forget the cost aspect, right? If electricity is charged at 12 cents per kWh, here’s where the magic happens. You’ll convert that 12 cents into dollars because calculations are much easier in dollars. So, that means:

12 cents = $0.12.

Now, just take your annual kilowatt-hours and multiply them by the cost per kilowatt-hour. Watch how simple it becomes!

520 kWh/year × $0.12/kWh = $62.40/year.

There you have it—the annual cost to run your TV is a staggering $62.40! If you’re keeping score, the answer is C—$62.40.

Now, isn’t it intriguing? Sometimes we gear ourselves up for a hefty bill, but with just a bit of math, we can unveil the truth. It’s straightforward, right? Still, this knowledge could also be your ticket to energy efficiency!

Wondering how you could lower that cost? Opting for energy-efficient models when purchasing new gadgets can significantly diminish overall home energy consumption. It’s all about making informed choices, like picking up those new eco-friendly appliances. And hey, every little bit counts, especially when crafting a budget plan.

This whole dose of math can not only help you prepare for the AFCT Arithmetic Reasoning section—where similar calculations might pop up—but it can also empower you in everyday financial matters. A little understanding goes a long way, whether you’re prepping for a test or just trying to manage your household’s finances.

Next time you tune in for some screen time, you’ve got some newfound wisdom about what that apparently casual activity is costing you. Isn’t it fascinating how something as mundane as watching TV can lead you down the path of budgeting skills? You’re not just keeping up with the times; you’re also becoming smarter with your money—and that’s a win-win.

So, keep those numbers close and make every penny count. Who knew that arithmetic could actually lead to better decision-making in your life, right?