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Find the equation of the exponential function represented by the table below:xx yy00 0, point, 0, 10.0111 0, point, 0, 30.0322 0, point, 0, 90.0933 0, point, 2, 70.27

Question

Find the equation of the exponential function represented by the table below:xx yy00 0, point, 0, 10.0111 0, point, 0, 30.0322 0, point, 0, 90.0933 0, point, 2, 70.27

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Solution

The table seems to represent an exponential function of the form y = ab^x.

To find the values of a and b, we can use two points from the table. Let's use the points (0, 0.01) and (1, 0.03).

First, we can plug the first point into the equation:

0.01 = a * b^0

Since any number to the power of 0 is 1, we find that a = 0.01.

Next, we can plug the second point and the value of a into the equation:

0.03 = 0.01 * b^1

Solving for b, we get b = 0.03 / 0.01 = 3.

So, the equation of the exponential function represented by the table is y = 0.01 * 3^x.

This problem has been solved

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