Question

The points are plotted in scatterplot as shown above .Which of the following equations best represents the data points ?

• A. $y=\frac{1}{2}x$
• B. $y={\left(\frac{1}{2}\right)}^x$
• C. $y=\frac{1}{2}\left(2^x\right)$
• D. $y=\frac{3}{2}x-1$

Answer 1

The correct option is C $y=\frac{1}{2}\left(2^x\right)$

The given points are increasing gradually with a constant.
Form a table and substitute the value of x in equation $y=\frac{1}{2}{2}^x$
we will get the graph as shown in the figure.
Example: when x = 2, y =$\frac{1}{2}{2}^2=2$
So, now look at the graph, the points are plotted (2, 2).