Praxis 5003 Practice Test Practice Question
Ester does face painting at the county carnival. She paints 8 faces every 24 minutes. Which of the following equations relates the number of faces she paints, f, and the time she spends painting, m, in minutes?
Correct Answer: C
Rationale: To determine the relationship between the number of faces painted (f) and time spent painting (m), we first calculate Ester's rate. She paints 8 faces in 24 minutes, which simplifies to a rate of 1 face every 3 minutes (since 24 minutes ÷ 8 faces = 3 minutes per face).
Option A (f = 3m) incorrectly suggests that Ester paints 3 faces for every minute, which is too fast.
Option B (f = 24/60 * m) miscalculates the rate, confusing total time with the number of faces.
Option D (f = 8/60 * m) also misrepresents the rate, implying she paints a fraction of a face per minute.
Option C (f = 1/3 * m) correctly reflects that for every 3 minutes, she paints 1 face, aligning with her actual rate.
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