Consumer math ? question: let y = 10,000 (0.97)^x represent the buying power of $10,000, with an inflation rate of three percent per year. the table below represents the first four years later. which year is incorrect? 1 year later (x) | purchasing power (y) = 9,700 2 years later (x) | purchasing power (y) = 9,308 3 years later (x) | purchasing power (y) = 9,127 4 years later (x) | purchasing power (y) = 8,853 answers: a: 1 b: 2 c: 3 d: 4

Here we are given the equation:

Here x represents the year.

Now plugging the value of x for different year :

A. x=1,

y=9700

option A. 1 year is correct.

B. x=2,

y=9404

But in the option we are given y=9308

So option B is incorrect.

C. x=3,

y=9126.73

y= 9127 ( approx.)

So option C is correct.

D. x=4

y=8852.9

y=8853 (approx)

So option D is also correct

Answer : option C. 3

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: