this is the answer , p = 1 + (1/10)x
step-by-step explanation:
we have,
at sea level pressure is 1 atmosphere (i.e at x =0, p0=1 atmosphere)
at depth 23 meters , pressure = 3.3 atmosphere
since the pressure increases at constant rate as the depth increases, so we can write a relation as:
p =p0 + kx , where p is the pressure , p0 is the initial pressure, x is the depth and k is constant rate of increasing.
to find constant rate k, plug p = 3.3 , p0 = 1 and x= 23 meters
we get,
3.3 = 1 + k * 23
k = 2.3 / 23 = 1/10
so we can write the function formula as: p = 1 + (1/10)x