1.) c=number of people that ordered chicken dinner s=number of people that ordered steak dinner
2.) c+s=6 148c+170s=910
3.) now you would use elimination or substitution. In this specific problem, i think elimination would be best. Elimination is used to cancel out one variable. For this problem, i will eliminate s. In order to do that, you need to multiply the top equation by -170 in order to cancel out the positive 170 in the bottom equation. -170(c+s=6) -170c+-170s=-1020
Now, you have -170c+-170s=-1020 148c+170s=910
Now you cancel out the s variables and you are left with -170c=-1020 148c=910
now you add the two equations together -170c+148c=22c -1020+910=110
Your new equation is 22c=110
now you divide both sides of the equation by 22 to get c alone
22c/22=110/22
c=5
now you plug in your answer for c in one of the original equations, to make it easier plug it into the top equation 5+s=6 now subtract 5 from both sides s=1
5 people bought chicken dinners, and one person ordered steak dinner
For this case, the first thing we should do is use the following equation: f (x) = 200 (1.03) ^ x We substitute f (x) = 300: 300 = 200 (1.03) ^ x We clear the value of x: log1.03 (300/200) = log1.03 ((1.03) ^ x) x = log1.03 (300/200) x = 13.72 Answer: the population will first reach 300 in about 13.72 years.