Meri Approximates the area of circles using the equation  and records areas of circles with different radius lengths in a table.

a) Graph the ordered pairs from the table
b) Is the relation a function ? Explain.

The correct answer is: graph is a function.

Step by step solution:
Let us denote the radius of the circle by x.
Let us denote the area of the circle by y.
Then the given table is

x	1	2	3	4	5
y	3	12	27	48	75

We plot the above points in a graph.

We can check if a graph is a function by the vertical line test. A graph represents a function if any vertical line in the xy plane cuts the graph at maximum one point. We use this method to check if the given graph represents a function.
We can see that if we draw any vertical line in the xy plane, it cuts the graph at exactly one point.
Hence, the given graph is a function.

In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.