A centimetre is the most appropriate unit
X is -1/2 . Using the Lambert W function.
x^2=16^x => x^2=(2^4)^x
x^2=2^4x => x=2^2x
x=(e^in(2))^2x => x=e^2in(2)x
e^2in(2)x1/x=1
xe^-2in(2)x=1 /*1
-xe^-2in(2)x=-1
-2in(2)xe^-2in(2)x=-2in(2)
W(-2in(2)xe^-2in2x)=W(-2in(2))
-2in(2)x=W(-2in(2))
X=-W(-2in(2))/2in(2)
The equations that represent the salary that Chloe's receive under the different options are:
1) Option 1: $600
2) Option 2: $ 350 + 8% * x, where x is the sales.
Using the fact that 8% = 0.08
Option 2 = $350 + 0.08x
A) If she has $3200 weekly salary:
Option 1 gives $600 (it is a constant salary)
Option 2 gives: $350 + $ 0.08 (3200) = $350 + $256 = 606.
Then, she will earn more money with the option 2.
B) The equation that can be used to determine when she earns more is found by making the two options equal:
Optio 1 = Option 2 =>
600 = 350 + 0.08x
C) Option 1 wiil lead to a greater earn when 600 > 350 + 0.08x
=> 600 - 350 > 0.08x
=> 250 > 0.08x
=> (250 / 0.08) > x
=> 3,125 > x => x < 3,125
Then, the answer is that she will earn more money with option 1 when x < 3,125