Here is a less obvious example of a linear function. imagine putting a rope around the earth. make it nice and snug. now add 33 m to the length of the rope and arrange it concentrically around the earth. could you walk under it without hitting your head? justify your answer.

A person who has height less than 5.2521 m can walk under the rope without hitting his/her head.

Step-by-step explanation:

Radius of earth = R

Length of rope around Earth = Circumference of Earth = 2πR

Now add 33 m to the length of the rope that means to increase the circumference

C = 2πR+33

Now,

C = 2πR'

⇒2πR' = 2πR+33

In order to find the height we need to find difference of the radii

⇒2πR'-2πR = 33

So, a person who has height less than 5.2521 m can walk under the rope without hitting his/her head.