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

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 th class=

Respuesta :

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

[tex]\begin{gathered} m=\frac{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}[/tex]

So, you have

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

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.