Lesson 2.3: Combinations and Separations of Functions
Question 10 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P
The function f(t) = –16t2 + 250 represents the distance of a dropped object from the ground at any time, t. The equation g(t) = 15t represents the height of the object if it is tossed upward at a rate of 15 feet per second. The sum of the functions can be used to model the distance the dropped object is from the ground if it is tossed upward at a rate of 15 feet per second before it begins its descent.
Answer
A
h(t) = –16t2 + 265t
B
h(t) = –16t2 + 235t
C
h(t) = –16t2 – 15t + 250
D
h(t) = –16t2 + 15t + 250
Explanation
Add the two functions: f(t) + g(t) = (−16t² + 250) + 15t. Combining the terms gives h(t) = −16t² + 15t + 250, which is choice D.
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