Answer:
[tex]14[/tex] new signs are needed.
Step-by-step explanation:
Given: A [tex]26[/tex]-kilometer section of a highway is designated as a scenic byway. New signs will be placed at the beginning and end of this section and at every [tex]0.5[/tex] Km in between.
To find: How many new signs are needed?
Solution:
We have,
A [tex]26[/tex]-kilometer section of a highway is designated as a scenic byway.
New signs will be placed at the beginning and end of this section and at every [tex]0.5[/tex] Km in between.
So, there are [tex]2[/tex] signs placed, one at the beginning and one at the end.
Now, in between these [tex]2[/tex] signs there will be [tex]\frac{26}{0.5} -1=13-1=12[/tex] signs.
Hence, the total new signs that are needed is [tex]12+2=14[/tex].