Final answer:
The b) double-declining-balance method will result in the highest depreciation expense for 2016.
Step-by-step explanation:
The method that will result in the highest depreciation expense for 2016 is the double-declining-balance method. This method is an accelerated depreciation method, which means that it will allocate a higher proportion of the depreciation expense to the earlier years of the truck's life.
The double-declining-balance method calculates depreciation by taking twice the straight-line rate and applying it to the book value of the asset. In this case, the straight-line rate is 1/5 or 20%, so the double-declining-balance rate is 40%. Therefore, the depreciation expense for 2016 would be $14,800 ($37,000 x 40%).
The straight-line method, on the other hand, allocates the same amount of depreciation expense over the useful life of the asset. The units-of-production method allocates depreciation based on the actual usage or production of the asset. In this case, since the mileage driven in 2016 is 20,000 miles, the depreciation expense using the units-of-production method would be ($37,000 - $7,000) x (20,000/100,000) = $6,000.