Answer:
option B : 
Step-by-step explanation:
(a) 
For exponential function , there is no vertical asymptotes
General form of exponential function is


In the given f(x) the value of k =0
So horizontal asymptote is y=0
(b) lets check with option

To find vertical asymptote we set the argument of log =0 and solve for x
Argument of log is x-39
x-39=0 so x=39
Hence vertical asymptote at x=39
It will take 40 hours for the water tank to become empty.
Explanation:
Divide 30 by 0.75 (equivalent to 3/4).
Step 1 , switch sides - 29-3b<10
step 2 , subtract 29 from both sides - -3b< -19
step 3 , multiply both sides by -1 - 3b > 19
step 4 (answer) - divide by 3 = 19/3