Using estimates of rainfall, evaporation, and water consumption, the town engine

Question

Using estimates of rainfall, evaporation, and water consumption, the town engineer developed the following model of the water volume in the reservoir as a function of time Vt=109+1081-e-t100-rt where V is the water volume in liters, t is the time in days, and r is the town's consumption rate in liters per day. Write two-user-defined functions. The first function should define the function V(t) for use with the f zero function. The second function should use f zero to compute how long it would take for the water volume to decrease to x percent of its initial value of 109L. The inputs to the second function should be x and r. Test your functions for the case where x=50 percent and r=107L/day.

Explanation / Answer

the matlab code having calling function and main function, please cafully excute it.

function diffV=deltaV(t1)%calling function for define the equation.

global Rd Xd

V_of_t1=10^9+10^8(1-exp(-t1/100))-Rd*t1;

Vfinal=10^9*(Xd/100);

diffV=Vfinal-V_of_t1;

main code:

function t1_dec=time_to_decrease(x1,r1)

global Rd Xd

Rd=r1

Xd=x1

t1_dec=fzero('deltaV',100)

x1i=input('percent of initial storage, x= ');

r1i=input('consumption rate for L/day, r= ');

disp('for x1= ')

disp(x1i)

disp(' for r1= ')

disp(r1i)

disp(' ')

disp(‘time for the decrease in the days = ')

disp(td)

the results will be dislayed as

the results are like:

percent of initial storage, x1= 50

consumption rate for L/day, r1= 1e7

for x1=

       50

For r1=

       10000000

time for the decrease in the days =

     54.1832

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