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.

your answer is b.

step-by-step explanation:

the 2 points are: (3,1) and (6,6)

first, let's find the slope:

(6-1)/(6-3) = 5/3

then let's plug this into the point-slope formula:

y - 1 = 5/3(x - 3)

this is your answer! the below is just the simplified form.

y - 1 = 5/3x - 5

y = 5/3x - 4