B. I Find the equation of the exponential function represented by the table below: y The equation would be y = 1.2% 0 1 +2. 1

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asked Jun 20, 2023 202k views

1 Answer

Brad Christie · Answer 1 · 2023-06-25T18:29:52+0000

exponential formula:

$y=a\cdot b^x$

where a and b are two constants.

Replacing with x = 0, and y = 1, we get:

$\begin{gathered} 1=a\cdot b^0 \\ 1=a \end{gathered}$

Replacing with a = 1, x = 1, and y = 3, we get:

$\begin{gathered} 3=1\cdot b^1 \\ 3=b \end{gathered}$

Then, the equation is:

$y=1\cdot3^x$

This result can be checked with the other points of the table.

When x = 2,

$y=1\cdot3^2=9$

When x = 3,

$y=1\cdot3^3=27$