Clever Portal Math To Do; Sign in to Our Work for Quara Clever Portal The page you com/student/dashboard/home A diver’s depth increases. What is the best linear plot that shows how water pressure changes for a diver based on the diver’s depth? The graph below describes the relationship between water pressure and depth. For every 33 feet a diver descends, the pressure increases by one atmosphere: Depth (in feet): 1 6 25 50 75 100 Water Pressure vs. Depth: 1 6 25 50 75 100 For every 33 units of increase in atmospheric pressure, the diver descends by one foot. For every 33 feet a diver ascends, the pressure decreases by one atmosphere.
The Correct Answer and Explanation is:
Correct Answer:
The best linear plot that shows how water pressure changes with depth is a graph where pressure increases linearly with depth, and the relationship is defined by the rule:
For every 33 feet of depth, pressure increases by 1 atmosphere.
So the equation of the line is:
Pressure (atm) = Depth (ft) ÷ 33 + 1
This formula starts at 1 atmosphere (surface level), and every additional 33 feet adds another atmosphere of pressure.
Explanation:
Understanding the relationship between depth and water pressure is key in oceanography, diving, and physics. Water exerts pressure due to the weight of the water above a given point, and this pressure increases the deeper you go. The ocean and other bodies of water apply pressure in a predictable and linear way.
According to the information given, every 33 feet of additional depth increases the pressure by 1 atmosphere (atm). At sea level (0 feet), a diver experiences 1 atm of pressure due to the air above. When a diver descends to 33 feet, the water adds an additional atmosphere of pressure, making it 2 atm in total. At 66 feet, it’s 3 atm, and so on.
This relationship is linear because the pressure increases by the same amount (1 atm) for every equal increase in depth (33 feet). A linear plot of this data would produce a straight line with a constant slope. The slope (rate of change) is 1 atm per 33 feet, or mathematically:
Slope = 1/33
So the pressure PPP at depth ddd is given by:
P=d33+1P = \frac{d}{33} + 1P=33d+1
This equation shows that at 0 feet (the surface), the pressure is 1 atm. For 33 feet, P=3333+1=2P = \frac{33}{33} + 1 = 2P=3333+1=2 atm. This pattern continues as depth increases.
Incorrect interpretations—like suggesting pressure increases as depth decreases or that for every 33 atm pressure increases by 1 foot—misrepresent the physical reality and would result in a graph that is nonlinear or inverted. The correct linear plot must reflect the consistent increase in pressure per 33 feet of descent.
