pt From the turn of the twentieth century the number of news

pt) From the turn of the twentieth century, the number of newspapers sold (per thousand in population) grew rapidly until the 1930s, when the growth slowed down and then declined. The years 1940 to 1946 saw a \"spike\" in growth, but the years 1947 to 1954 saw an almost equal decline. Since 1954 the number has continued to decline, but at a slower rate. The number N of papers sold per thousand in population for each period respectively can be approximated by: 4 Min -0.13t2 8.1t +208 t20 -5.75[c-461 + 374 38

Solution

b) I understand that we can take any part of piecewise function and explian that why it

correct models the sales during that period :

g(t) = -2.45t + 460 ; t>= 54

Point in the graph given is ( 54, 323) .Lets check whether it satisfies the g(t)

g(54) = -2.54*54 + 460 = 322.84 = 323

After the year 1954 the sales of paper slowed down and that is eveident from the elinear equation with negative slope

of -2.54 which every year by 2.54 thouand. As t incheases value of g(t) goes on decreasing