Question

The table represents a function.



x

y

0

216

1

972

2

4
,
374

3

19
,
683





Which equation represents the function?

A.
y
=
216
(
4.5
)
x

B.
y
=
216
(
4.5
)
x
−
1

C.
y
=
756
x
+
216

D.
y
=
216
x
+
756

Answer 1

A

Reason: each y is 4.5 times the previous (972/216 = 4.5, 4374/972 = 4.5, …), and y(0)=216, so y = 216(4.5)^x.