The average rate of change of a function f(x) on the interval [a,b] is given by:
f(b) - f(a)
-------------
b-a
In this specific case, a=2 and b = 3.
f(2) = -3 and f(3) = -1.
Thus, the average rate of change here of f(x) on the interval [2,3] is:
-1 - (- 3) 2
------------- = ------------- = 2 (answer)
3-2 1
Answer:
5) Part A: The rate of change, also known as the slope, is the "0.6x" part of the equation. It means that for every week the puppy is alive, x, that number is multiplied by 0.6 pounds.
Part B: The y-intercept is 4 pounds, which represents a puppy being 4 pounds at birth.
Part C: y = 0.6x + 4
y = 0.6(8)+4
y = 8.8
At 8 weeks, a puppy is estimated to be 8.8 pounds.
Part D: y = 0.6x + 4
22 = 0.6 + 4
-4 -4
18 = 0.6x
18/0.6 = 0.6x/0.6
30 = x
It would take a puppy 30 weeks to reach 22 pounds.
Answer:
4800m
Step-by-step explanation:
"correct to the nearest 10 meters" means that the height can vary ± 10 meters.
4810 m ± 10 m = 4800 to 4820
4800 is the least possible height.