+0

0
967
1

The table of values represents a polynomial function ​f(x).

f(x)

4                    358

5                    690

6                    1178

7                    1852

8                    2742

9                    3878

How much greater is the average rate of change over the interval [7, 9] than the interval ​ [4, 6] ?

Mar 6, 2018

#1
+3

avg rate of change over interval [7, 9]

=   slope between  ( 7, f(7) )  and  ( 9, f(9) )

=   slope between  ( 7, 1852 )  and  ( 9, 3878 )

=   $$\frac{3878-1852}{9-7}$$

=   $$\frac{2026}2$$

=   1013

avg rate of change over interval [4, 6]

=   slope between  ( 4, f(4) )  and  ( 6, f(6) )

=   slope between  ( 4, 358 )  and  ( 6, 1178 )

=   $$\frac{1178-358}{6-4}$$

=   $$\frac{820}2$$

=    410

How much greater is  1013  than  410   ?

1013 - 410  =  603

1013  is  603  greater than  410 .

Mar 6, 2018

#1
+3

avg rate of change over interval [7, 9]

=   slope between  ( 7, f(7) )  and  ( 9, f(9) )

=   slope between  ( 7, 1852 )  and  ( 9, 3878 )

=   $$\frac{3878-1852}{9-7}$$

=   $$\frac{2026}2$$

=   1013

avg rate of change over interval [4, 6]

=   slope between  ( 4, f(4) )  and  ( 6, f(6) )

=   slope between  ( 4, 358 )  and  ( 6, 1178 )

=   $$\frac{1178-358}{6-4}$$

=   $$\frac{820}2$$

=    410

How much greater is  1013  than  410   ?

1013 - 410  =  603

1013  is  603  greater than  410 .

hectictar Mar 6, 2018