A science experiment begins with a bacterial population of 12. After 1 hour, the population is 18. After 2 hours, the population is 27.Which best describes the relationship between the time, in hours, and the population of the bacteria?
A: LINEAR
B: QUADRATIC
C: EXPONENTIAL

What is the y-intercept of the function?
A: 6
B: 12
C: 15
D: 18

What is the rate of change of the function?
A: ADD 1.5
B: ADD 6
C: MULTIPLY 1.5
D: MULTIPLY 6

ANSWER ALL 3!!!!!!! LIMITED TIME!!!!!!

Answers

Answer 1

Answer: For this case we have a function of the form:
$y = A * b ^ x$
Where,
A: initial population
b: growth rate
x: time in hours
y: population after x hours
We must find the values of A and b, for this we use the following data:
After 1 hour, the population is 18:
$18 = A * b ^ 1$
After 2 hours, the population is 27:
$27 = A * b ^ 2$
We have a system of two equations with two unknowns
Dividing equations we have:
$(A * b ^ 2)/(A * b ^ 1) = (27)/(18)$
$b= (27)/(18)$
$b = 1.5$
Substituting b in equation 1 we have:
$18 = A * (1.5) ^ 1$
Clearing A we have:
$A = 18 / 1.5A = 12$
So, the function is:
$y = 12 * (1.5) ^ x$
Answer:

A function that best describes the relationship between the time, in hours, and the population of the bacterium is:
C: EXPONENTIAL

the y-intercept of the function:
B: 12

the rate of change of the function:
C: MULTIPLY 1.5

Answer 2

Answer:

Answer:

1. exponential 2. 12 3. multiply 1.5

Step-by-step explanation:

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Answer:

I chose the same answer give the dude a round of applouse

Step-by-step explanation:

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