A. The charge (Q) transported can be calculated using the formula Q = I * t, where I is the current and t is the time. In this case, Q = 3A * 4hr = 12Ah.
B. The energy expended (W) is given by the equation W = Q * V, where Q is the charge and V is the voltage. The voltage function is given as V = 10 + t/2. You need to integrate this function over the given time period (0 to 4 hours) to find the total energy expended.
C. To calculate the cost, convert the energy expended (in kilowatt-hours) and multiply it by the electricity cost per kilowatt-hour. Cost (C) = (W in kWh) * (cost per kWh). Ensure you convert the units appropriately.
For specific numerical results, you would need to substitute the values into the expressions.