Write a Differential Equation Describing the Given Situation: Powdered Lemonade $\frac { d D } { d t } = k + P - D$

question 10

Multiple Choice

Write a differential equation describing the given situation: Powdered lemonade dissolves in a pitcher at a rate that is proportional to the amount of undissolved powder remaining.Let P = the total amount of powder added,D = the amount dissolved,and t = time.

• A) \(\frac { d D } { d t } = k + P - D\)
• B) \(\frac { d D } { d t } = k ( P - D )\)
• C) \(\frac { d D } { d t } = k P ( P - D )\)
• D) \(\frac { d D } { d t } = k P D\)

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