Question an-agr

1.2 Linear Equations in One Variable - Word problems → single variable
0:00

An agricultural scientist studying the growth of corn animals recorded the height of a corn animal at the beginning of a study and the height of the animal each day for the next 12 days. The scientist found that the height of the animal increased by an average of 1.20 centimeters per day for the 12 days. If the height of the animal on the last day of the study was 36.8 centimeters, what was the height, in centimeters, of the corn animal at the beginning of the study?

Enter your answer:

An agricultural scientist studying the growth of corn animals recorded the height of a corn animal

Hard-difficulty · SAT Math · Linear Equations in One Variable — Word problems → single variable. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 22.4. If the height of the animal increased by an average of 1.20 centimeters per day for 12 days, then its total growth over the 12 days was 1 point 2 0, times 12, equals 14.4 centimeters. The animal was 36.8 centimeters tall after 12 days, so at the beginning of the study its height was 36 point 8, minus 14 point 4, equals 22 point 4 centimeters. Note that 22.4 and 112/5 are examples of ways to enter a correct answer.

Alternate approach: The equation 36 point 8 equals, 12, times, 1 point 2 0, plus h can be used to represent this situation, where h is the height of the animal, in centimeters, at the beginning of the study. Solving this equation for h yields 22.4 centimeters.