Question

Consider the two exponential equations shown. Identify the attributes for each equation to complete the table.​

Answer 1

i took the test 100%

Answer 2

`y = 2 5 0 ( 0 . 8 9 ) ^ x`

Initial value: 250

Decay

Decay rate: 11%

`y = 4 0 ( 1.11 ) ^ x`

Initial value: 40

Growth

Growth rate: 11%

Explanation:

The function we have on the left of the table is:

`y = 2 5 0 ( 0 . 8 9 ) ^ x`

Initial value (when x = 0):
`y = 2 5 0 ( 0 . 8 9 ) ^ 0`

y = 250 (initial value)

Growth or Decay: 0.89 < 1 so decay

Decay rate: (1 - 0.89) * 100 = 11%

Function on right side:

`y = 4 0 ( 1.11 ) ^ x`

Initial value (when x = 0):
`y = 4 0 ( 1 . 1 1 ) ^ 0`

y = 40 (initial value)

Growth or decay: 1.11 > 1 so growth

Growth rate: (1.11 - 1) * 100 = 11%