Question

Review the table showing the percentage of
contaminants remaining in a water sample after
passing through each round of filters.
In the exponential regression equation, what does the
value of b indicate?
Round
% of Contaminants
Left in Water Sample
0
100
6.3% of the contaminants remain in the water
sample after each round of filters.
14.9% of the contaminants remain in the water
sample after each round of filters.
O 6.3% of the remaining contaminants are removed
from the water sample after each round of filters.
14.9% of the remaining contaminants are removed
from the water sample after each round of filters.
1
15
2
2
3
0.3

Answer 1

Answer: it’s C

6.3% of the remaining contaminants are removed from water samples after each round of filters

Step-by-step explanation:

I got a good feeling

Answer 2

The value of b indicates 14.9% of the contaminants remains in water after each round of filters.

What is exponential regression?

Exponential regression refers to the process of arriving at an equation for the exponential curve that best fits a set of data.

What is the general form of the exponential regression equation?

$y =a b^{x}$ is the general form of the exponential regression equation.

Let the exponential regression equation be $y = ab^{x}$.

Taking natural logarithm both the sides of $y = ab^{x}$

⇒ $ln y = a + x ln b..(i)$

For the value of a and b substitute the value of y and x from the given table.

substitute, y = 100 and x = 0 in equation (i)

⇒ $ln100= a + 0$

⇒ a = 4.6

Substitute, y = 15, x = 1 and a = 4.6 in equation (i)

⇒ $ln15 = 4.6 +( 1)lnb$

⇒$2.7 - 4.6 = lnb$

⇒$lnb = -1.9$

⇒ b = $e^{-1.9}$

⇒ b = 0.149

⇒b = 14.9%

Hence, the value of b indicates 14.9% of the contaminants remains in water after each round of filters.

Learn more about the exponential regression equation here:

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