Question

A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 2. The second column is labeled f (x) with entries 18, 6, 2, two-thirds.
What is the decay factor of the exponential function represented by the table?

One-third
Two-thirds
2
6

Answer 1

The decay factor of the exponential function given in the table is of $\frac{2}{3}$.

What is an exponential function?

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

• A(0) is the initial value.

• r is the decay rate, as a decimal.

In this problem, we have that when x increases by 1, y decreases by a factor of 3, hence the decay rate r is found as follows:

$1 - r = \frac{1}{3}$

$r = 1 - \frac{1}{3}$

$r = \frac{2}{3}$

More can be learned about exponential functions at https://brainly.com/question/25537936

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