Question

The table lists the number of members at a local gym for selected years, where year 1 represents 2002. year 3 represents 2004, and so on.Yearxy = number of members200214220043602006570802008 72010 9100Use the ordered pairs (3,60) and (5.70) to find the equation of a line that approximates the data. Express your answer in slope intercept form. (If necessary, roundthe slope to the nearest hundredth and the y-intercept to the nearest whole number.)

Answer 1

To solve this problem we use the two points formula for the equation of a line and solving for y we get:

`\begin{gathered} y-60=(70-60)/(5-3)(x-3)\text{.} \\ y-60=(10)/(2)(x-3), \\ y=5(x-3)+60, \\ y=5x-15+60, \\ y=5x+45. \end{gathered}`

Answer: y=5x+45.