Average rate of change can be calculated by determining the
rate of change at x = a, and at x = b
f’(x) =2 (3^x) ln(3)
f’(0) = 2 ln(3)
f’(1) = 6 ln(3)
f’(2) = 18 ln(3)
f’(3) = 54 ln(3)
Average:
at section A = [6 ln(3) – 2 ln(3)]/1 = 4 ln(3)
at section B = [54 ln(3) – 18 ln(3)]/1 = 36 ln(3)
section B is 9 times larger.
Based from the f’(x), f’(x) varies as the power of x. so the
greater of value of x, the greater the rate of change.
She did 12 questions, and needs to do 36.
36 / 12 = 3, so it will take 3 times as long.
1 hour 20 minutes times 3 = 4 hours.
It will take her 4 hours.
Zero would mean the sea level. Since three miles below sea level is -3, and 0-3 is -3.
