Question the-le

1.1 Linear Functions - Graphs in slope-intercept, point-slope, standard form
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The length, y , of a white whale was 162 centimeters cm when it was born and increased an average of 4.8 cm per month for the first 12 months after it was born. Which equation best represents this situation, where x is the number of months after the whale was born and y is the length, in cm, of the whale?

A.

y = 162 x

B.

y = 162 x + 162

C.

y = 4.8 x + 4.8

D.

y = 4.8 x + 162

The length, y , of a white whale was 162   centimeters   cm when it

Easy-difficulty · SAT Math · Linear Functions — Graphs in slope-intercept, point-slope, standard form. 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 length of the whale was 162 cm when it was born and that its length increased an average of 4.8 cm per month for the first 12 months after it was born. Since x represents the number of months after the whale was born, the total increase in the whale's length, in cm, is 4.8 times x , or 4.8 x . The length of the whale y , in cm, can be found by adding the whale's length at birth, 162 cm, to the total increase in length, 4.8x cm. Therefore, the equation that best represents this situation is y = 4.8 x + 162 .

Choice A is incorrect and may result from conceptual errors.

Choice B is incorrect and may result from conceptual errors.

Choice C is incorrect and may result from conceptual errors.