Final answer:
Under the double-declining-balance method, the depreciation rate used each year remains constant.
Step-by-step explanation:
The statement is true. Under the double-declining-balance method, the depreciation rate used each year remains constant. This means that the rate of depreciation does not change throughout the useful life of the asset. The method involves applying a constant depreciation rate to the remaining book value of the asset each year, resulting in a larger depreciation expense during the early years and gradually decreasing depreciation expense over time.