In 2014, the population of Ohio was 11.59 million people. One-hundred years earlier the population was 5.109 million people. Using scientific notation, how much did the population grow over the hundred-year span?

The answer is the population grew over the hundred-year span by

Given that in 2014, the population of people in Ohio = million

Also given that One-hundred years earlier of the year 1914, the population =   million people

One-hundred years earlier in the year 2014 = 2014 years

One-hundred years earlier in the year 2014 = Year 1914

The scientific notation of the year 2014 population is

The scientific notation of the year 1914 population is

How much did the population grow over the hundred-year span?

Growth of the population from 1914-2014 =

Growth of the population from 1914-2014 =

Conclusion: The population grew over the hundred-year span by

Learn more about scientific notation here

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

i will pick c put check it over to be sure

step-by-step explanation: