1. Why is this passage called Energy to Live?
1 answer:
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Answer:
Explanation:
Let X be the number of bacteria at time t, and Xo be the initial number of bacteria
Bacteria grows exponentially, the exponential growth model is thus:
X = Xo
[<em>e</em> is the exponential sign]
k is the growth constant = growth rate
At t = 20 minutes, X = 100
At t = 40 minutes, X = 2000
Substituting that into the formula
(i) ... 100 = Xo
(ii) ... 2000 = Xo
<em>Divide (ii) by (i)</em>
20 =
<em>[Xo cancels Xo. Division of values raised to a power is done by subtracting their powers]</em>
<em>Take the natural log of both sides</em>
㏑20 = 20k
<em>[taking the ㏑ cancels the exponential]</em>
k =
<em>We can now substitute k to solve one of the equations</em>
<em>substituting k in (ii)</em>: 2000 = Xo
2000 = Xo
2000 = Xo
<em>Making Xo the subject of the formula</em>
Xo =
Xo is approximately 5 cells.
THE DOUBLING TIME
The doubling time is the time it takes for the population to double, so 5 cells become 10 cells
Since Xo = 5
Given that X = Xo
When X=10,
10 = 5
<em>solving for t:</em>
Take ln of both sides
0.15t = ln 2
t =
t =4.62 minutes
POPULATION AFTER 65 MINUTES
X = 5
X = 85770
WHEN WILL THE POPULATION REACH 12000
12000 = 5
=240
take ln of both sides
0.15t = ln 2400
t = 51.89 minutes (approximately 52 minutes)
Food chains showcase clear picture of who is eating who. But when we try to use them to characterize entire ecological communities i.e food web, certain problems arise. For example, a species may sometimes consume numerous prey types, or be consumed by several predators at various trophic levels. To even more accurately describe these interactions, we should use a food web, a chart that demonstrates most the trophic — eating-related — relationships within an ecosystem among different species.
Arrows point from a species consumed on food chains to the creature that consumes it. Some organisms that eat species from more than one trophic stage, as shown in the food web below. Opossum shrimp, for an instance, consume both primary producers as well as primary consumers. Primary producers demonstrated with green, primary consumers with orange, secondary consumers with blue while tertiary consumers with purple.
