sonrisa owns a 300 w television. if the total energy usage for february is 32.4 kwh, how many hours per week…

sonrisa owns a 300 w television. if the total energy usage for february is 32.4 kwh, how many hours per week does sonrisa watch television? (assume that the television does not use energy while it is turned off and that there are 28 days in february.) hours per week

sonrisa owns a 300 w television. if the total energy usage for february is 32.4 kwh, how many hours per week does sonrisa watch television? (assume that the television does not use energy while it is turned off and that there are 28 days in february.) hours per week

Answer

Explanation:

Step1: Convert power to kW

The power of the television is $300\ W$. Since $1\ kW = 1000\ W$, then $300\ W=\frac{300}{1000}=0.3\ kW$.

Step2: Calculate total hours of usage in February

We know that energy $E = P\times t$, where $E$ is energy, $P$ is power and $t$ is time. Given $E = 32.4\ kWh$ and $P=0.3\ kW$. Rearranging the formula for $t$, we get $t=\frac{E}{P}$. Substituting the values, $t=\frac{32.4}{0.3}=108$ hours (total hours of television - usage in February).

Step3: Calculate hours per week

There are 28 days in February, which is $\frac{28}{7}=4$ weeks. To find the number of hours per week, we divide the total hours of usage in February by the number of weeks in February. So, the number of hours per week is $\frac{108}{4}=27$ hours.

Answer:

27