If Cara works 14 hours, she earns $84. If she works 19 hours, she earns $114. Let y represent the total amount of money that Cara earns working x number of hours. Model a equation and determine if this is a direction or inverse variation. 20 POINTS!!

Step-by-step explanation:

14r=84, r=84/14=6, so the hourly rate is $6 an hour so

y(x)=6x

Since this is of the form y/x=k or y=kx it is directly proportional. Inverse proportion is of the form yx=k or y=k/x

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: