Answer:
P(t) = 2093e^(42t).
Step-by-step explanation:
The population of this town can be modeled by the following differential equation
dP/dt = Pr
where r is the growth rate in people a year.
We can solve this differential equation by the separation of variables method.
dP/P = rdt
Integrating both sides, we have:
ln P = rt + P0
where P0 is the initial population
To isolate P, we do this:
e^(ln P) = e^(rt + P0)
P(t) = P0e^(rt).
We have that the population increases by 42 people a year, so r = 42. We also have that the population at time t = 0 is 2093 people, so P0 = 2093.
So the formula for the population, P, of the town as a function of year t is P(t) = 2093e^(42t).
Answer:
14/5
Step-by-step explanation:
multiply 5 by 2 then the answer of the is added to the numerator which would equal 14 the put 14 on top of 5
Y=mx+b
m=slope
so we just have to convert it to such
5y=x-3
sivide both sides by 5 to get 1y
y=1/5x-3/5
y=mx+b
m=1/5
slope=1/5
Two teacher sponsors. Write a rule for the number of chaperones that must be on the trip. Write ordered pairs to represent the number of chaperones that must attend the trip when there are 120,150,200, and 210 students.
The rule would be:
c = # of chaperones
s = # of students
c = 1/5s + 2
Plug those numbers of students into "s" in the above equation. Your answers will be the second number of the ordered pair.
C= S/5 + 2
C=Chaperones
S=Students
(S,C)
(120,26), (150,32), (200,42), (210,44)