hello tutor i need help

i need a sample problem- solving involving linear and rational function in the field of politics and governance .

drop here 2 problem with solution thanks

Face Na Example O In a certain country The goverment approval maling Acti can be made. by the rotational function ?(t)= 10s where, to represent the number of year since the current administrator took office O Deler mine the goverment approved park after 3 years in OFFICE 2 IF the approval rating untiney to follow this model fined the year then the approval rating will real? Solution - To find gomoment approval railing after 3years In office ( t = 3 ) play ( iss) in to function 1(3 ) = 100 - 100 3+ 1. :. after 3 year in office tree. gov , approval rating 1 25% To fired the year cited the approval rating Teal 75% Ce can set up so. after yo year From the Too = 75 present time the appoorcy cull 1'600 75( + 1) 100 = 75+ +75- In real world Scenario 25 = Fit Political situation can be comply and may involve varion factor beyond a simple mathematical mallT W T Page No Date YOUVA Example 2) In booaf election cappypain , a cond italy Popularity PCH ] Is represent by the linear funelon PH = - 0. 1+ + 30 cures t is the number of weeks since the Campain beguin I Find Candidan popularity out the start OF the campaign " calculate the rate of change OF the camplitake popularity per weeks 3) AFly how many weely will be the candidute popularity Ans - 1 find candiate popularity at the start OF the capaigh ( E=0 ) To Find the popularity at the start OF campaign f=01 pley to into the funebron R CO ) : - 0'l * 0 + 30 R(o) = 30 at the start of the campain the popularity is 30 2 Calculate the rate change OF the candite popularity per weeks The Coefficient OF tin the Function ( - 0. 16 ) represent the change so, the change OF popularity per week 1) - 0.1 3) After how many weeks will the candiate Popularity be zero ? Find when candi to popinalty will 2050, R ( t) = o and Solve it 0 = -olt + 30 $ = 30/ 011 o'lt . 30 $=300