Answer:
<em>c) Going half the distance, going in the opposite direction, starting 10 minutes later and starting 6 miles further.</em>
Step-by-step explanation:
<u>Function Modeling</u>
Let's take a look at both functions provided by the problem:
We are told that f(x) represents a student's displacement from school. We notice the following changes in g(x) with respect to f(x)
- All the expressions in parentheses represent a displacement of -10 units in x. If x is time, then in g(x), the time is 10 minutes later than in f(x)
- The factor that multiplies the three parentheses is 1 in f(x) and -0.5 in g(x). If that factor is the speed, then in g(x) the speed is half the speed in f(x) and in the opposite direction. The distance will be half of the distance of f because the student moves slower.
- g(x) has an offset of +6, meaning the object is initially 6 miles further.
The option that collects all the conditions observed in both functions is:
c) Going half the distance, going in the opposite direction, starting 10 minutes later and starting 6 miles further