In the year 1900, in the country Acirema, there were 100 lawyers and 2 million people. Every 10 years, the number of lawyers doubles, and the population increases by 2 million.
Let \( t \) be the number of years after 1900. Thus, \( t = 3 \) corresponds to 1903.
Find the equation involving \( t \) whose solution tells you in which year 20 percent of the population are lawyers.
DO NOT SOLVE OR BEGIN TO SOLVE THIS EQUATION.
\[
0.2 = \frac{\text{Number of lawyers in year } t}{\text{Population in year } t}
\]
Answer (3)
Well, there is a system: L = 100 ∗ 2 10 t p = 2000000 + 2000000 ∗ 10 t L = .2 P I'd guess you need the last equation in a different form: .2 = P L
The equation is 0.2 = 2000000 + 2000000 × 10 t 100 × 2 10 t . ;
The equation to determine when 20 percent of the population are lawyers in Acirema can be established by relating the number of lawyers and the population size. The relationship is given by 0.2 = 2000000 + 2000000 × 10 t 100 × 2 10 t . This equation enables us to find the time t when this proportion occurs.
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