a. find and interpret the intercepts of y=P(d)

y = (1/33)d + 1

click here to see the graph

we find x-intercept when y = 0 that is:

(1/33)d + 1 = 0

........

click here to see all the equation solution steps

........

d = -33

the x-intercept is (-33, 0)

we find y-intercept when d = 0 that is:

y = (1/33)*0 +1

y = 1

the x-intercept is (0, 1)

b. Find P(0), P(99), and P(100)

P(0) = (1/33)*0 + 1

P(0) = 1 atm

P(99) = (1/33)*99 + 1

P(99) = 4 atm

P(100) = (1/33)*100 + 1

P(100) = 3 1/33 + 1

P(100) = 4 1/33

P(100) = 4.03 atm

c. Find the depth at which the pressure is 7 atmospheres

P(d) = 7 atm

we need to find d

(1/33)d + 1 = 7

........

click here to see all the equation solution steps

........

d = 198 ft