Question

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.

Which function models the sum?

h(t) = –16t2 + 265t
h(t) = –16t2 + 235t
h(t) = –16t2 – 15t + 250
h(t) = –16t2 + 15t + 250​

Answer 1

Option D

Explanation:

Hello! Here is my explanation on how I got this answer:

The expression f(t) = -16t2 + 250 and g(t) = 15t can be combined into h(t) = -16t2 + 15t + 250. I got this answer because you cannot combine the two expressions including the variable t. This also means that they have to be separated which they are in ever expression listed. Since g(t) = 15t is a positive expression, we can rightfully assume that h(t) = 16t2 + 15t + 250 is the correct answer.

Hope this helps! Let me know if you have any other questions!