M=19.7t2+310.5t+7539.6 F=28t2+368t+10127.8
where t is time in years. Write a polynomial in standard form to model the total number of people attending degree-granting institutions.

Part a: let's consider the house price as consecutive terms in a sequence.a linear sequence is determined if each consecutive term has the same difference.an exponential sequence is determined if each consecutive term has the same ratio.house a: term 1 = 186160term 2 = 193606.40term 3 = 201350.66we first check whether the function is a linear oneterm 2 - term 1 = 193606.40 - 186160 = 7446.4term 3 - term 2 = 201350.66 - 193606.40 = 7744.26the function isn't linear. it doesn't increase in the same constant.we check if the sequence has the same ratioterm 2/term 1 = 193606.40 / 186160 = 1.04term 3/term 2 = 201350.66 / 193606.40 = 1.04the consecutive terms have the same ratio; the sequence is we do the same check with house b's price increaseterm 1 = 190000term 2 = 201000term 3 = 212000finding the differenceterm 2 - term 1 = 201000 - 190000 = 11000term 3 - term 2 = 212000 - 201000 = 11000the sequence has the same difference between each consecutive term. hence the sequence is part b: house a: the general form of an exponential function is f(x) = c(rˣ), wheref(x) = the final value after x yearsc = 179000r = 1.04x = the number of yearsthe function, f(x), for house a is f(x) = 179000 (1.04ˣ)house b: the general form of a  linear function is h(x) = mx + cwhereh(x) is the price of the house after x yearsm = the rate of changec = the initial valuethe function for house b is h(x) = 11000x + 179000part c: the value of house a after 30 yearsf(30) = 179000 (1.04)³⁰ = 580568.15the value of house b after 30 yearsf(30) = 11000(30) + 179000 = 509000there is a significant difference between the value of house a and house b in 30