Question

Number of Workers and Hours to Complete 1 mile of Highway (10, 50) 50 Number of Hours to Complete 1 mile of Highway 30 : (25, 20) 10 10 25 15 20 Number of Workers As the values of x increase, the values of y y :: increase :: decrease : remain the same

Answer 1

In the graph you can see that all the points do not pass through a single line, however, you can obtain the slope of the line that passes through the points.

*If the slope is positive, the values of y increase as the values of x increase.

*If the slope is negative, the values of y decrease as the values of x increase.

The formula for the slope is

`\begin{gathered} m=(y_(2)-y_(1))/(x_(2)-x_(1)) \\ \text{ Where m is the slope of the line and} \\ (x_1,y_1),(x_2,y_2)\text{ are two points through which the line passes} \end{gathered}`

So, you have

`\begin{gathered} (x_(1,)y_1)=(10,50) \\ (x_(2,)y_2)=(25,20) \end{gathered}`
`\begin{gathered} m=(20-50)/(25-10) \\ m=(-30)/(15) \\ m=-2 \end{gathered}`

Therefore, since the slope of the line that passes through these points is negative then the correct answer is:

As the values of x increase, the values of y decrease.