AmeeliaN52923 AmeeliaN52923
  • 26-10-2022
  • Mathematics
contestada

1) What is the slope (grade) of a road that rises 6 feet for every horizontal change of 600 feet?a) 1100b) 16d) seChoose

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EmiT244211 EmiT244211
  • 26-10-2022

Let's conside the change in values in y axis with the increasing order of 600,1200,1800......

And the change in values in x axis with increasing order of 6,12,18,24.......

To find the slope, let'ss take

[tex]\begin{gathered} x_1=6 \\ x_2=12 \\ y_1=600 \\ y_2=1200 \end{gathered}[/tex]

The formula to find the slope is,

[tex]m=\frac{y_2-y_1}{x_2-x_1_{}}[/tex]

By substituting the values in the formula,

[tex]\begin{gathered} m=\frac{1200-600}{12-6} \\ m=\frac{600}{6} \\ m=100 \end{gathered}[/tex]

Hence the value of slope, m is 100

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