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

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.

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.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

answer:

125 yards

explanation:

75+50=125. that is my answer