Question 1131533
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Continuing the response from tutor @alan3354, there are also an infinite number of polynomial equations that are satisfied by the three given data points.<br>
However, since the value is cut in half for each increase of 1 in the x value, an exponential function would seem the most appropriate:  {{{y = ab^x}}}.<br>
The constant factor in the given sequence is 1/2 or 0.5:  {{{y = a(.5)^x}}}<br>
When x is 0, y is 38:
{{{38 = a(.5)^0 = a}}}<br>
So the exponential function for the given points is<br>
{{{y = 38(.5)^x}}}