Answer:
[tex]\frac{1}{2}\cdot h-2=17[/tex]
Total length of Josh's hike is 38 km.
Step-by-step explanation:
Please consider the complete question.
Josh is hiking Glacier National Park. He has now hiked a total of 17 km, and is 2 km short of being 1/2 of the way done with his hike
Write an equation to determine the total length in kilometers (h) of Josh's hike. Find the total length of Josh's hike. (km)
Let h represent the total length in kilometers.
1/2 of the total distance would be [tex]\frac{1}{2}\cdot h[/tex].
Now we will subtract 2 to half of the distance as Josh is 2 km short of being 1/2 of the way.
[tex]\frac{1}{2}\cdot h-2[/tex]
Now we will equate total distance covered by Josh with 17 km as:
[tex]\frac{1}{2}\cdot h-2=17[/tex]
Therefore, our required equation would be [tex]\frac{1}{2}\cdot h-2=17[/tex].
Let us solve for h.
[tex]\frac{1}{2}\cdot h-2+2=17+2[/tex]
[tex]\frac{1}{2}\cdot h=19[/tex]
[tex]\frac{1}{2}\cdot h\cdot 2=19\cdot 2[/tex]
[tex]h=38[/tex]
Therefore, the total length of Josh's hike is 38 km.
