These tables represent an exponential function. Find the average rate of change for the interval from x = 7 to x = 8.
X
Interval
0
1
2.
у
1
3
9
27
81
243
729
Average rate
of change
2
]x3
6
]x3
18
4]x3
54
|]
162
1]x3
486
0 to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
3
4
H
5
-
6
O A. 2187
O B. 4374
C. 6561
D. 3

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

pls refer ro the top for answer

moderators are

answer is (b.

164 ft2)

a base  

18

b base  

7

h height  

8