Question

I need help with this it bob and Betty surviving people in there neighborhood on political opinion for their government class. they want know how long it take to do the survey survey responses 3 4 7 8 10 11collected total time. 7.5 10 17.5 20 25 27.5in minutes

Answer 1

To find the equation of the time they spent we need to use the:

$y-y_1=m(x-x_1)$

Where m is the slope and (x1,y1) is a point of the table.

We can find the slope with:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using the first two points on the table we have:

$\begin{gathered} m=\frac{10-7.5}{4-3} \\ =\frac{2.5}{1} \\ =2.5 \end{gathered}$

Now plugging the values of the slope and the first point into the equation we have that:

$\begin{gathered} y-7.5=2.5(x-3) \\ y-7.5=2.5x-7.5 \\ y=2.5x \end{gathered}$

Therefore the equation that represents the time they spent is:

$y=2.5x$

where x is the number of people they survey and y is the time it takes.