5
QuizMultiple Choice

Lesson 2.6: Modeling Using Function Notation

Question 5 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

The density of titanium is 4.5 g/cm3. A titanium object is accelerating at a rate of 800 cm/s2. The mass of the object can be modeled by the function m(v) = 4.5v, where v is the volume in cubic centimeters. Additionally, the force of the object can be found using the function F(m) = 800m.

Answer
A
F(m(v)) = 177.8v
B
F(m(v)) = 795.5v
C
F(m(v)) = 804.5v
D
F(m(v)) = 3,600v

Explanation

Substitute the mass function m(v) = 4.5v into the force function F(m) = 800m. This gives F(m(v)) = 800(4.5v) = 3,600v. Therefore, the correct choice is D, F(m(v)) = 3,600v.

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