A scientist studying the life cycle of dragonflies counted the number of dragonflies in a certain habitat each day for

Question

A scientist studying the life cycle of dragonflies counted the number of dragonflies in a certain habitat each day for $46$ days. On February $15$ , there were $99$ dragonflies in the habitat. The percent increase in the number of dragonflies in the habitat from January $1$ to February $15$ was $12.50 percent sign$ . How many dragonflies were in the habitat on January $1$ ?

A.

$88$

B.

$87$

C.

$12$

D.

$8$

Accepted Answer

Choice A is correct. It&rsquo;s given that a scientist studying the life cycle of dragonflies counted the number of dragonflies in a certain habitat each day for 46 days. It&rsquo;s also given that on February 15 , there were 99 dragonflies in the habitat and that the percent increase in the number of dragonflies in the habitat from January 1 to February 15 was 12.50 % . This can be represented by the equation 99 = 1 + 12.50 100 x , where x represents the number of dragonflies in the habitat on January 1 . This equation can be rewritten as 99 = 1.125 x . Dividing both sides of this equation by 1.125 yields 88 = x . Therefore, there were 88 dragonflies in the habitat on January 1 . Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.

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