The population y​ (in millions) of two states in year x can be approximated by the​ following, where xequals10 corresponds to the year 2010. In what year did the two states have the same​ population

Respuesta :

Answer:2014

Step-by-step explanation:

To find the year when the two states had the same population, we need to set the population equations for both states equal to each other and solve for x.

The population equations for the two states are given by:

Step 1: Set the population equations equal to each other.

Step 2: Solve for x.

Subtract 2x from both sides:

Subtract 5 from both sides:

Step 3: Convert x to the corresponding year.

Since x=10 corresponds to the year 2010, we can calculate the year by adding 4 to 2010.

So, the two states had the same population in the year 2014.

Step-by-step video