Answer:
[tex] y = 2 5 0 ( 0 . 8 9 ) ^ x [/tex]
Initial value: 250
Decay
Decay rate: 11%
[tex] y = 4 0 ( 1.11 ) ^ x [/tex]
Initial value: 40
Growth
Growth rate: 11%
Step-by-step explanation:
The function we have on the left of the table is:
[tex] y = 2 5 0 ( 0 . 8 9 ) ^ x [/tex]
Initial value (when x = 0): [tex] y = 2 5 0 ( 0 . 8 9 ) ^ 0 [/tex]
y = 250 (initial value)
Growth or Decay: 0.89 < 1 so decay
Decay rate: (1 - 0.89) * 100 = 11%
Function on right side:
[tex] y = 4 0 ( 1.11 ) ^ x [/tex]
Initial value (when x = 0): [tex] y = 4 0 ( 1 . 1 1 ) ^ 0 [/tex]
y = 40 (initial value)
Growth or decay: 1.11 > 1 so growth
Growth rate: (1.11 - 1) * 100 = 11%
