Question

Raheem is on the road trip from Ohio to Vermont, a distance about 700 miles. During the first two hours of this trip, his distance from Vermontis given by the function x(t)= 700-30t-15t^2. Write a rational function that expresses the average rate of change of Raheem's distance from Vermont during during the first t hours of his trip.
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Answer 1

Answer:

  d.  none of these

Step-by-step explanation:

The average rate of change of x(t) over the interval [0, t] is given by ...

  average rate of change = (x(t) -x(0))/(t-0)

  = ((700 -30t -15t^2) -(700))/t

  = (-30t -15t^2)/t

  = -30 -15t . . . . . . . . . neither version of this answer matches any choice

Answer 2

Answer:

d. None of these.

Step-by-step explanation:

So we are given that in 0 hours he is 700 miles away.

We are given in 2 hours he complete a distance of $700-30t-15t^2$ miles away.

The rate of change is the change in distance over the change in time.

So we are simplifying the following:

$\frac{(700-30t-15t^2)-700}{2-0}$

$\frac{-30t-15t^2}{2-0}$

$\frac{-30t}{2}-\frac{15t^2}{2}$

$-15t-\frac{15}{2}t^2$

The answer is d. None of these.