There are approximately 110 million households that use TVs...

There are approximately 110 million households that use TVs in the United States. Each TV uses, on average, $75 \mathrm{W}$ of power and is turned on for 6.0 hours a day. If electrical energy costs $\$ 0.12$ per $k W h,$ how much money is spent every day in keeping 110 million TVs turned on?

Key Concepts

Energy Consumption Calculation

This involves determining the total electrical energy used by multiplying the device's power rating (in kilowatts) by the duration of use (in hours). This calculation yields the energy consumption expressed in kilowatt-hours.

Scaling and Aggregation

When multiple devices or households are involved, the individual energy consumption and cost are scaled up by multiplying by the total number of units. This scaling provides a comprehensive estimate of the cumulative energy usage and associated costs across all devices.

Cost Calculation

Once the energy consumption is determined, the next step is to compute the monetary cost by multiplying the total energy used (in kWh) by the cost per kWh. This multiplication gives the overall expenditure to operate the device(s) for the specified time period.

Unit Conversion

Ensuring that all measurement units are consistent is critical. In energy calculations, power values in watts are often converted to kilowatts (since 1 kW = 1000 W) so that when these values are multiplied by time (in hours), the result is in kilowatt-hours (kWh), which is the common billing unit for electrical energy.

Power Consumption

This concept refers to the rate at which electrical devices use energy, measured in watts. It quantifies how much energy a device requires to operate per unit time, serving as a basis for calculating overall energy usage over a period.

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