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Algebra / Linear functions Difficulty: Medium

The pressure exerted on a scuba diver at sea level is $14.70 pounds per square inch left parenthesis psi right parenthesis$ . For each foot the scuba diver descends below sea level, the pressure exerted on the scuba diver increases by $0.44 psi$ . What is the total pressure, in $psi$ , exerted on the scuba diver at $105$ feet below sea level?

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Explanation

Choice A is correct. It's given that the pressure exerted on a scuba diver at sea level is $14.70 pounds per square inch left parenthesis psi right parenthesis$ . It's also given that for each foot the scuba diver descends below sea level, the pressure exerted on the scuba diver increases by $0.44 psi$ . The total pressure, in $psi$ , exerted on the scuba diver at $x$ feet below sea level can be represented by the expression $0.44 x plus 14.70$ . Substituting $105$ for $x$ in this expression yields $0.44 left parenthesis 105 right parenthesis plus 14.70$ , or $60.90$ . Therefore, the total pressure exerted on the scuba diver at $105$ feet below sea level is $60.90 psi$ .

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect. This is the pressure, in $psi$ , exerted on the scuba diver at sea level, not at $105$ feet below sea level.

Choice D is incorrect. This is the rate by which the pressure, in $psi$ , exerted on the scuba diver increases for each foot the scuba diver descends below sea level.