A historian took a count of the number of people in a Gold Rush town for six years in the 1870's find a quadratic function that models the data as a function of x the number of years since 1870. Use the model to estimate the number of people in the town in 1878

Solution :

The model is :

Year                     1870      1871      1872     1873      1874     1875        1876

Population            365       384       393      392       381       360        329

It is given that a historian counted the number of people in the Gold Rush town for a 6 years staring from 1870.

Therefore the quadratic function which models a data as a function of the number of years from 1870 i.e. x is given by

And the number of people present the town of Gold Rush in the year 1878 can be found by using the model is 237.

answer: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

step-by-step explanation:

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula