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Initially, 40 bacteria are placed in a Petri dish. It is observed that the bacteria triple in population every 11 hours.

How can this information be interpreted?

Select True or False for each statement.

The scenario can be modeled by the function f(x)=40(3)x11 , where f(x) represents the population of bacteria x hours after the bacteria are placed in the Petri dish.
(True or False)

After 4 hours, there are approximately 60 bacteria.
(True or False)

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step-by-step explanation:

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the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: