Answer:
(a)Yes, it is an exponential function.
(b)
Step-by-step explanation:
(a)A population grows exponentially if it increases by a common ratio(called the growth ratio). We can see from the given information that the population of E.coli doubles every 20 minutes, therefore it is an exponential growth with a growth ratio of 2.
(b)The population, P(t) at any time t of an initial population, 
with a growth ratio of r over a period k can be modeled using the function:
In this Case:
=200
Growth rate,r=2
Growth Period,k=20 minutes
Therefore, the equation that models the function is:
, t is in minutes
True.
Hope it helps..............!
F(x) = ax + b
Usa-se a informacao dada para criar um sistema de 2 equacoes com 2 variaveis. Resolve-se o sistema pare determinar os valores de a e b.Uma vez que se sabe os valores de a e b, escreve-se a funcao f com os valores de a e b. Finalmente calcucla-se f(3) usando a funcao f.
f(-1) = 3
a(-1) + b = 3
f(1) = -1
a(1) + b = -1
O sistema de equacoes e o seguinte.
Resolvemo-lo par adicao.
A variavel a e eliminada.
-a + b = 3
a + b = -1
2b = 2
b = 1
a + 1 = -1
a = -2
Agora sabemos the a = -2 e b = 1.
Escrevemos a funcao f usando os valores the a e b calculados..
f(x) = -2x + 1
f(3) = -2(3) + 1 = -6 + 1 = -5
f(3) = -5
Answer:
2
Step-by-step explanation:
You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.
The answer is A because if you take the mean "25" and Multiple by 11 "the amount of days" then subtract "the minutes" 22,13,11,38,24,51,29,and 21 u get 66 and 66÷2=33 hope this helps
