Using proportions, it is found that the estimate of the the per capita consumption from 2011 was of 29.25 gallons.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The amount in 2012 was a increase of 5.3% from 2011, that is, 105.3% = 1.053 of x, and the consumption per capita was of 30.8 gallons, hence:
1.053x = 30.8
x = 30.8/1.053
x = 29.25 gallons.
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Answer:
The correct option is;
[2.5, ∞)
Step-by-step explanation:
The given exponential equation can be expressed as follows;
10,000 × 4ˣ ≥ 320,000
Therefore we have;
4ˣ ≥ 320,000/10,000
4ˣ ≥ 32
㏒(4ˣ) ≥ ㏒(32)
x·㏒4 ≥ ㏒(32)
x ≥ ㏒(32)/㏒4
∴ x ≥ 2.5
Therefore, the interval the colony will have at least 320,000 bacteria is where x ≥ 2.5 or 2.5 ≤ x < ∞ which gives, the interval [2.5, ∞)
Answer:
42
Step-by-step explanation:
(5+3) x 8 -22
8 x 8 -22
64 - 22
42
