Question

Which equation models the relationship between the two variables in the table below?

Answer 1

The answer is "
`\bold{y=9^x}`"

Explanation:

In the given question some information is missing that is table attachment. In this table there are many element is defined, which can be given as follows:

`x = -1 \ \ \ \ y = 0.111\\x =1 \ \ \ \ \ \ y = 9\\x =2 \ \ \ \ \ \ y = 81\\x =4 \ \ \ \ \ \ y = 6,561\\ x =5 \ \ \ \ \ \ y = 59,049\\`

Now check the value:

`y = x^9, \ x = -1, and \ y = (-1)^9 = -1 \ it \ is \ wrong.\\ y= 9x^2 \ gives \ value \ -9 \ that \ is\ wrong \ and \\\\ \ when \ \ x= 1 \\\\ y= 9^x \\ y= 9^1 \\y= 9 \ gives \ the \ correct \ value.`