Question

The formula that relates the wattage of an appliance to the cost to run the appliance is W=1000C/tc is the wattage of to appliance, C is the cost to use the appliance per month, is the time in hours per month, and c is the cost of electricity per kilowatt hour. Use $0.15 per kilowatt-hour for the cost of electricity. a. How much does it cost per month to run a 1500-watt hair dryer 0.25 hr per day for 30 days in a month? A. $1.69 B.$11.25 C.$13.36 D.$75

Answer 1

The formula relatinf wattage and monthly cost is:

`W=(1000C)/(tc)`

For this case, the wattage W is 1500 w.

The time of usage is t = 0.25h per day. Equivalent to 30*0.25 = 7.5hr/month

The cost of electricity per kilowatt-hour is c = 0.15$/kWh.

With this infomration we can calculate the monthly cost to run the hair dryer, by rearranging the equation and solving for C:

`C=(Wtc)/(1000)`
`\begin{gathered} C=((1500)\cdot(7.5)\cdot(0.15))/(1000) \\ C\approx1.69 \end{gathered}`

The cost per month to run the hairdryer is approximately $1.69