Question

use the graphing tool at the right to create a scatter plot for the data in the table. use the shape of the scatter plot to determine if the data are best modeled by a linear function, an exponential function, a logarithmic function, or a quadratic function.
\begin{array}{|c|c|}hline x&y\hline0&0\hline3&0.5\hline6&0.8\hline11&1.0\hline15&1.2\hlineend{array}
plot each point, one at a time. using the graphing tool, start by plotting (0,0).

Explanation:

Step1: Plot the points

Plot the points \((0,0)\), \((3,0.5)\), \((6,0.8)\), \((11,1.0)\), \((15,1.2)\) on the given graph - grid one - by - one.

Step2: Analyze the shape

Observe the overall shape of the scatter - plot. As \(x\) increases, \(y\) also increases in a relatively straight - line fashion. The rate of change of \(y\) with respect to \(x\) seems to be approximately constant.

Answer:

The data are best modeled by a linear function.