Explanation
Correct answer: A.
Choice A is correct. It's given that the pressure exerted on a scuba diver at sea level is pounds per square inch (psi). It's also given that for each foot the scuba diver descends below sea level, the pressure exerted on the scuba diver increases by psi. The total pressure, in , exerted on the scuba diver at feet below sea level can be represented by the expression . Substituting for in this expression yields , or . Therefore, the total pressure exerted on the scuba diver at feet below sea level is psi.
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C
Choice C is incorrect. This is the pressure, in , exerted on the scuba diver at sea level, not at feet below sea level.
Choice D
Choice D is incorrect. This is the rate by which the pressure, in , exerted on the scuba diver increases for each foot the scuba diver descends below sea level.