Question a-cert

5.1 Linear Inequalities in One or Two Variables - Compound inequalities
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A certain elephant weighs 200 pounds at birth and gains more than 2 but less than 3 pounds per day during its first year. Which of the following inequalities represents all possible weights w, in pounds, for the elephant 365 days after birth?

A.

400 is less than w, which is less than 600

B.

565 is less than w, which is less than 930

C.

730 is less than w, which is less than 1,095

D.

930 is less than w, which is less than 1,295

A certain elephant weighs 200 pounds at birth and gains more than 2 but less than

Hard-difficulty · SAT Math · Linear Inequalities in One or Two Variables — Compound inequalities. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice D is correct. It’s given that the elephant weighs 200 pounds at birth and gains more than 2 pounds but less than 3 pounds per day during its first year. The inequality 200 plus 2 d, is less than w, which is less than 200 plus 3 d represents this situation, where d is the number of days after birth. Substituting 365 for d in the inequality gives 200 plus 2, times 365, is less than w, which is less than 200 plus 3, times 365, or 930 is less than w, which is less than 1,295.

Choice A is incorrect and may result from solving the inequality 200 times 2, is less than w, which is less than 200 times 3. Choice B is incorrect and may result from solving the inequality for a weight range of more than 1 pound but less than 2 pounds: 200 plus 1, times 365, is less than w, which is less than 200 plus 2, times 365. Choice C is incorrect and may result from calculating the possible weight gained by the elephant during the first year without adding the 200 pounds the elephant weighed at birth.