Answers FL-1200330-Algebra 2 CR Modeling with Functions — Unit testQuestion 7

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QuizMultiple Choice

Modeling with Functions — Unit test

Question 7 • FL-1200330-Algebra 2 CR

The potential energy of an object varies jointly with the mass of the object and the height of the object off the ground. A 40-kg object is 2 meters off the ground. The potential energy of the object is 784 joules. A 10-kg object is 3 meters off the ground. What is the potential energy of the 10-kg object?

Answer

A

33 joules

B

131 joules

C

294 joules

D

1,176 joules

Explanation

Because potential energy varies jointly with mass and height, write PE = kmh for some constant k. Using the first object, k = 784 ÷ (40 × 2) = 9.8. For the 10-kg object at 3 meters, PE = 9.8 × 10 × 3 = 294 joules, so the answer is 294 joules.

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