The input power budget closes as load plus waste. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
A linear regulator spends the voltage difference
The input minimum is 7 V while the output is 5 V. The difference is dissipated at the same load current.
Pwaste=(Vin−Vout)I
Input power closes as load plus waste in every row
The voltage difference stays fixed, so load power and waste power climb together with current.