SOLUTION: The table of values represents a polynomial function f(x) . How much greater is the average rate of change over the interval [4, 7] than the interval [2, 5]? X f(x) 2

Algebra ->  Functions -> SOLUTION: The table of values represents a polynomial function f(x) . How much greater is the average rate of change over the interval [4, 7] than the interval [2, 5]? X f(x) 2       Log On


   

Question 1206531: The table of values represents a polynomial function f(x) . How much greater is the average rate of change over the interval [4, 7] than the interval [2, 5]?
X f(x)
2 39
3 4
125 287
5 549
6 935
7 1469
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
+x | +f%28x%29
+2 |+39
+3 |+125
+4| +287
+5 |+549
+6+|+935
+7 |+1469

The average rate of change is Δy/Δx.
On the interval [+4,++7]:
+%281469+-+287%29+%2F+%287+-+4%29+=+394

On the interval of [+2, +5]:
+%28549+-+39%29+%2F+%285+-+2%29+=+170
+394-170=170
answer: the average rate of change over the interval [+4,++7] is +twice the average rate of change of the interval [+2,++5]