Question

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

Answer 1

Explanation:

I think it's d, I hope this helps and If I'm wrong please correct me.

Answer 2

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

`$P(x) = -5x^2+24x+365$`

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