Question

The population of the United State reached approximately 300 million by the year 2010. From 2010 to 2050, the population is expected to increase by about 2.5 million per year. A write an equation to find the population p for any year X from 2010 to 2050. B graph the equation on the grid at the right. C find the population in 2050

Answer 1

• y = 2.5x +300
• 400 million

Explanation:

Let y represent the population in millions, and x represent the number of years after 2010.

Then for x=0, y = 300. The rate of change is given as 2.5 million per year, so a suitable formula is ...

y = 300 +2.5x

Then in 2050, 40 years after 2010, the population is expected to be ...

y = 300 +2.5(40) = 400 . . . million