Question

The population in Utah was 2,763,888 in 2010. The number of people living in Utah in 2016 increased by 10.4% percent. What was Utah's approximate population in 2016?

Answer 1

so, if we take then 2,763,888 to be the 100%, that was in 2010, then 6 years later, it went up by 10.4%, so the population in 2016 was then 100% + 10.4% that of 2010, or 110.4%.

now, if 2,763,888 is the 100%, what is the 110.4% of it then?


`\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 2,763,888&100\\ x&110.4 \end{array}\implies \cfrac{2,763,888}{x}=\cfrac{100}{110.4} \\\\\\ \cfrac{2763888\cdot 110.4}{100}=x`

Answer 2

The approximate population would be 287444.325