An oceanographer is studying the impacts of climate change on ocean currents and models the velocity \( v \) of a particular current in meters per second as a function of depth \( d \) in meters with the equation \( v(d) = ad + b \), where \( a \) and \( b \) are constants. Given that at a depth of 5 meters, the velocity is 3 m/s, and at 20 meters, it is 8 m/s, solve for \( a \) and \( b \).

Sat, 02 May 2026 15:02:51 +0000

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