Question

The table of values below represent an exponential function. Find the constant ratio of successive y-values.

Answer 1

Option C is the correct answer i.e. 1.5

Explanation:

Given the table represents an exponential function. It says to find the constant ratio of successive y-values.

It means R = y₂/y₁ = y₃/y₂ = y₄/y₃ = y₅/y₄

y₂/y₁ = 12/8 = 3/2

y₃/y₂ = 18/12 = 3/2

y₄/y₃ = 27/18 = 3/2

y₅/y₄ = 40.5/27 = 3/2

So, R = 12/8 = 18/12 = 27/18 = 40.5/27

R = 3/2

R = 1.5

Hence, constant ratio is R = 1.5

Answer 2

C

Explanation:

The constant ratio of successive y-values will be the ratio of the "next term" to the "previous term".

It is given by the formula:

constant ratio =
`(t_(n+1))/(t_n)`

• Where
  `t_(n+1)` is the next term, and
• 
  `t_n` is the term before it

So we can compute:

`(12)/(8)=1.5`, or

`(18)/(12)=1.5`, or

`(27)/(18)=1.5`, or

`(40.5)/(27)=1.5`

The constant ratio of successive y-values is 1.5

Answer choice C is right.