Question

In 2000, Ohio's population was 11.4 million and and increasing by 0.5 million each year. Michigan's population was 9.9 million, increasing by 0.6 million each year. When will the two years have the same population? Let y represent the number of years.

Answer 1

Answer:-

`11.4 + 0.5y = 9.9 + 0.6y` , then the two states have the same population.

Explanation:

Let y represents the number of years

As per the statement:

In 2000, Ohio's population was 11.4 million and and increasing by 0.5 million each year.

⇒
`11.4 + 0.5y`

and

also, it is given that: Michigan's population was 9.9 million, increasing by 0.6 million each year.

⇒
`9.9 + 0.6y`

When two states have the same population.

then the equation :
`11.4 + 0.5y = 9.9 + 0.6y`.

Answer 2

In 15 years the population will be same.

Explanation:

Let y represent the number of years.

In 2000, Ohio's population was 11.4 million and and increasing by 0.5 million each year.

`x=11.4+0.5y`

Michigan's population was 9.9 million, increasing by 0.6 million each year.

`x=9.9+0.6y`

We have to tell that when will the two years have the same population, so we will put both equations equal.

`11.4+0.5y=9.9+0.6y`

=>
`11.4-9.9=0.6y-0.5y`

=>
`0.1y=1.5`

So, y = 15

Therefore, in 15 years the population will be same.