The entrance to a museum in Paris is shaped like a square pyramid. The area of the base of the pyramid is 1,227 square meters, and the height is 21 meters. Which measurement is closets to the volume of the pyramid in cubic m

2,863 m3
25,757 m3
409 m3
8,589 m3

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