Question

The amount of pressure on a diver as she descends into the sea can be modeled by the equation
y
=
1
10
x
+
1
, where x is her depth in meters and y is the amount of pressure in atmospheres (atm). Which of these statements are correct according to the model? Select two that apply.
A.
For every 10 meters that the diver descends, the amount of pressure on her increases by 1 atm.
B.
For every 10 meters that the diver descends, the amount of pressure on her decreases by 1 atm.
C.
At sea level, the amount of pressure on the diver is
1
10
atm.
D.
At sea level, the amount of pressure on the diver is 1 atm.
E.
For every 1 meter that the diver descends, the amount of pressure on her decreases by 10 atms.
F.
For every 1 meter that the diver descends, the amount of pressure on her increases by 10 atms.

Answer 1

Correct choices: A and D.

Reason: y = (1/10)x + 1 has slope 1/10, so pressure increases by 0.1 atm per meter = 1 atm per 10 meters (A is true). At sea level x = 0, y = 1, so pressure is 1 atm (D is true). The other statements are incorrect.