Question

HELLLLPPPPThe pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of 23 meters, the pressure around her is 3.3, point, 3 atmospheres. The pressure p in atmospheres is a function of x, the depth in meters. Write the function's formula.
p=

Answer 1

Answer:

$p(x)=0.1x+1$

Step-by-step explanation:

We are told that pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases.

We are provided two points as (0,1) and (23,3.3). To find function's formula we will find the line which passes through these points.

First of all we will find slope of this line.

$m=\frac{3.3-1}{23-0} =\frac{2.3}{23}$

$m=\frac{1}{10} =0.1$

Now we will find equation of this line in slope intercept form.

$y=m*x+b$

$1=0.1*0+b$

$b=1$

Our equation for this line will be $y=0.1x+1$.

Now let us write this for x as a function of p,

$p(x)=0.1x+1$

Therefore,our function's formula will be $p(x)=0.1x+1$.