From the following table identify which row of data represen

From the following table, identify which row of data represents a linear, an expoential, and a quodratic function. (One function type for one row of data; no leftovers.) you have decide to launch a new product, and your marketing team belives there is a small but enthusiastic market for it. they expect saturation to occur at $250,000 sales, but anticipate initial sales to be $25,000 with sales doubling every week for the first few weeks. Write a logistic model in the form y = N/1+lambda b^-1 Use the model found in part a to predict the total sales after 5 weeks. Round to nearest dollar. Include units.

Solution

f(x)                  200    180     180     200     240        300      380

1^stdifference        -20      0       20         40         60         80

2^nd difference            20     20       20        20         20

Here the second difference is same. When 2^nd difference is same,then the given function is quadratic.

g(x)                        200           445              690              935                1180               1425               1670

1^st difference                245             245               245              245                 245                245

Here the first difference is same. When first difference is same,the given function is linear

h(x)                      200             240                288               345.6             414.72               497.664                597.1968

ratio                              1.2               1.2                 1.2                 1.2                     1.2                        1.2

Here the ratio is same and in such case the given function is exponential