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.

add a pic of the graph, then ill edit this "answer" and solve it for you : 3

step-by-step explanation:

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x