43
QuizMultiple Choice

Unit Test — Cumulative exam

Question 43 • S1S-OC: Pre-Calculus A (E3700 - AG)

The function W(t) = 40e–0.35t models the healing of a wound after t hours, where W(t) represents the wound area in square millimeters. What relationship do W(t) and t have?

Answer
A
when t = 0, W(t) > 40
B
when t = 0, W(t) < 40
C
when t > 0, W(t) > 40
D
when t > 0, W(t) < 40

Explanation

At t = 0, W(0) = 40e⁰ = 40. For t > 0, the exponent −0.35t is negative, so e^(−0.35t) is between 0 and 1. Multiplying that value by 40 gives W(t) < 40, so the correct choice is “when t > 0, W(t) < 40.”

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