8
QuizMultiple Choice

Combinations and Separations of Functions — Quiz

Question 8 • Algebraic Reasoning

The function f of t is equal to negative 16 t squared plus 250 represents the distance of a dropped object from the ground at any time, t The equation g of t is equal to 15 t 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. Which function models the sum?

Answer
A
h of t is equal to negative 16 t squared plus 265 t
B
h of t is equal to negative 16 t squared plus 235 t
C
h of t is equal to negative 16 t squared minus 15 t plus 250
D
h of t is equal to negative 16 t squared plus 15 t plus 250

Explanation

Add the two functions: f(t) + g(t) = (−16t² + 250) + 15t. Combining terms gives h(t) = −16t² + 15t + 250. Therefore, choice D, h(t) = −16t² + 15t + 250, models the sum.

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