Question

in dimesional analysis, if an electric vehicle gets 4 miles/ kWh and the utility company charges 12 cents per kWh for charging its battery, calculate the cost of driving this car in miles per dollar. (this is for chemistry not math)

Answer 1

Answer:

The cost of driving this car is 33.33 miles per dollar.

Explanation:

Distance covered in 1 kilo watt-hour = 4 miles/kWh

Utility company charges  = 12 cents/kWh

The cost of driving this car in miles per cents:

$\frac{ 4 miles/kWh}{12 cents/kWh}=\frac{1 miles}{3 cents}$

1 cents = 0.01$

The cost of driving this car in miles per dollars:

$\frac{1}{3} miles/cent=\frac{1 miles}{3\times 0.01\ }=33.33 miles/$