I marked the points.
The length of BC is 5 units
For this case we have the following function:
f (t) = -16t2 + 32t + 384
By definition we have to:
The average rate of change:
AVR = (f (t2) - f (t1)) / (t2 - t1)
Where,
For t1 = 4
f (4) = -16 * (4) ^ 2 + 32 * (4) + 384
f (4) = 256
For t2 = 6
f (6) = -16 * (6) ^ 2 + 32 * (6) + 384
f (6) = 0
Substituting values we have:
AVR = (0 - 256) / (6 - 4)
AVR = -128
Answer:
The average rate of change of f (t) from t = 4 seconds to t = 6 seconds is -128 feet per second.
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Step-by-step explanation:
Divisor = -2n = -2 * 6 = - 12
Dividend = 3 + ( 4 * 6 - 6) = 3 + 18 = 21
Now
21 / -12
dividing numerator and denominator by 3
= - 7 / 4