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2 years ago

The current population of a threatened animal species is 1.2 million, but it is declining with a half-life of 20 years. How many

animals will be left in 25 years? in 55 years?

Mathematics

1 answer:

Allisa [31]2 years ago

6 0

$Rate:\frac{1,200,000}{20}$
$Unit\ Rate:\frac{60,000}{2} = 30,000$

$25\ Years:750,000$
$55\ Years:1,650,000$

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$\displaystyle x = \frac{216}{7}$

General Formulas and Concepts:

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Order of Operations: BPEMDAS

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Parenthesis
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Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}$

Step 2: Solve for x

Cross-multiply: $\displaystyle 6(2x - 2) = 19(x - 12)$
Distribute: $\displaystyle 12x - 12 = 19x - 228$
Isolate x terms: $\displaystyle -12 = 7x - 228$
Isolate x term: $\displaystyle 216 = 7x$
Isolate x: $\displaystyle \frac{216}{7} = x$
Rewrite: $\displaystyle x = \frac{216}{7}$

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