The pressure exerted on a scuba diver at sea level is 14.70   pounds   per   square   inch

Question

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?

A.

$60.90$

B.

$31.50$

C.

$14.70$

D.

$0.44$

Accepted Answer

Choice A is correct. It's given that the pressure exerted on a scuba diver at sea level is 14.70 &#160; pounds&#160;per&#160;square&#160;inch &#160; 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 0.44 &#160; 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 + 14.70 . Substituting 105 for x in this expression yields 0.44 ( 105 ) + 14.70 , or 60.90 . Therefore, the total pressure exerted on the scuba diver at 105 feet below sea level is 60.90 &#160; 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.

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