Question

Which equation describes the relationship between the variables in the table below?

Answer 1

B. y = 9x^2; each y-value is the previous y-value plus 9 more than was added previously.

Answer 2

Answer:

D) y = 9^x, each y value is the previous y-value multiplied by another 9.

Step-by-step explanation:

We are given table values.

When x = -1 , y = 0.111

When x =1, y = 9

When x =2, y = 81

Now let's check with this with the each function.

y = x^9

When x = -1, y = (-1)^9 = -1

So this is not right function.

y = 9x^2 is also not the right function for the given table values.

y = 9(-1)^2 = 9(1) = 9

y = 9x is not also the right function.

$y = 9^x$ is the correct function for the given table values.

Let's check with a couple of points.

When x = -1, y = 9^-1, this can be written as 1/9 = 0.1111

When x = 2, y = 9^2 = 9*9 = 81

When x = 4, y = 9^4 = 9*9*9*9 = 6,561

Therefore, the answer is D) y = 9^x, each y value is the previous y-value multiplied by another 9.