Question

In 2000, the population of Geneseo,

New York, was about 7600 people. The
population of the entire state of New York
was about 2.5 × 10^3
times larger than the
population of Geneseo. What was the
population of New York in 2000? Write
your answer in scientific notation.

Answer 1

`1.9*10^(7)\ people`

Explanation:

Let

y -----> the population of the entire state of New York

x -----> the population of Geneseo

we know that

The linear equation that represent this problem is equal to

`y=2.5*10^(3)x`

we have

`x=7,600\ people`

substitute in the equation and solve for y

`y=2.5*10^(3)(7,600)`

`y=19,000,000\ people`

Convert to scientific notation

`19,000,000=1.9*10^(7)\ people`