Answer:
1.) y=800e^(0.02t)
2.) 957.76 (or 958 if rounding up is required)
Step-by-step explanation:
1.) Since the increase is in years and our time is in years, we can use the function y=Pe^(rt) where P is our beginning value, r is rate (as a decimal) and t is time. Substitute the values P=800, r=0.02 to get y=800e^(0.02)t.
2.) Solving the equation above, we substitute t for 9, we get:
Y=800e^(0.02*9)
Y=800e^(0.18)
Y=800*(1.1972)
Y=957.76
Since it asks for population, you may or may not need to round to 958.