See Below
First, put them into y = mx + b form. From there you can graph them by identifying their slopes and y-intercepts.
A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale). The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.
You can let the sides be a and b. You can then use the Law of Sines to create an equation relating the two sides and the angles opposite them, and finally isolate a/b.
Consider the function
![f(x)=x^{1/3}](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B1%2F3%7D)
, which has derivative
![f'(x)=\dfrac13x^{-2/3}](https://tex.z-dn.net/?f=f%27%28x%29%3D%5Cdfrac13x%5E%7B-2%2F3%7D)
.
The linear approximation of
![f(x)](https://tex.z-dn.net/?f=f%28x%29)
for some value
![x](https://tex.z-dn.net/?f=x)
within a neighborhood of
![x=c](https://tex.z-dn.net/?f=x%3Dc)
is given by
![f(x)\approx f'(c)(x-c)+f(c)](https://tex.z-dn.net/?f=f%28x%29%5Capprox%20f%27%28c%29%28x-c%29%2Bf%28c%29)
Let
![c=64](https://tex.z-dn.net/?f=c%3D64)
. Then
![(63.97)^{1/3}](https://tex.z-dn.net/?f=%2863.97%29%5E%7B1%2F3%7D)
can be estimated to be
![f(63.97)\approxf'(64)(63.97-64)+f(64)](https://tex.z-dn.net/?f=f%2863.97%29%5Capproxf%27%2864%29%2863.97-64%29%2Bf%2864%29)
![\sqrt[3]{63.97}\approx4-\dfrac{0.03}{48}=3.999375](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B63.97%7D%5Capprox4-%5Cdfrac%7B0.03%7D%7B48%7D%3D3.999375)
Since
![f'(x)>0](https://tex.z-dn.net/?f=f%27%28x%29%3E0)
for
![x>0](https://tex.z-dn.net/?f=x%3E0)
, it follows that
![f(x)](https://tex.z-dn.net/?f=f%28x%29)
must be strictly increasing over that part of its domain, which means the linear approximation lies strictly above the function
![f(x)](https://tex.z-dn.net/?f=f%28x%29)
. This means the estimated value is an overestimation.
Indeed, the actual value is closer to the number 3.999374902...
I don’t think you pick an answer you just put all of those formulas and solutions into your calculator and that will give you what you need to move onto the next question/ step