Question

When a person swims underwater, the pressure in his or her ears varies directly with the depth at which he or she is swimming.
Write an equation of direct variation that represents the situation.
4.3 pounds per square in.(psi)
10 ft

Answer 1

@mathstudent55 can you help me with this question too, please?

Answer 2

something varies directly to something else, just means
something = \(\bf\text{(some value)}\) times (something else)
or
y = (k) times x

so I gather in 10ft of depth, she gets 4.3lbs of atmospheric pressure

if the direct variation maintains a ratio "k"
then we can say that

y = kx
what's the ratio "k"? well, dunno
but we do know that when the pressure is 4.3lbs, the depth is 10ft
so

10 = (k) 4.3
# solving for "k"
k = 10/4.3

so the equation will look like \(\bf y = \cfrac{10}{4.3}x\)

Answer 3

@jdoe0001 oh okay thank you! :)

Answer 4

yw