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 1 meter that the diver descends, the amount of pressure on her decreases by 10 atms.
B.
At sea level, the amount of pressure on the diver is 1 atm.
C.
For every 1 meter that the diver descends, the amount of pressure on her increases by 10 atms.
D.
For every 10 meters that the diver descends, the amount of pressure on her decreases by 1 atm.
E.
At sea level, the amount of pressure on the diver is
1
10
atm.
F.
For every 10 meters that the diver descends, the amount of pressure on her increases by 1 atm.

Answer 1

Correct answers: B and F.

Reason: y = (1/10)x + 1 has y-intercept 1, so at x = 0 (sea level) y = 1 atm (B). The slope 1/10 means pressure increases by 1/10 atm per 1 m, so over 10 m it increases by 1 atm (F).