The equation used to model the cost of the bracelet would be y = 6c + 12, in which c is the number of charms on the bracelet. This is because even with no charms (c = 0), the bracelet still costs 12, which is the constant.
To solve for how many charms you can get with $96, you can plug 96 in for y and solve.
y = 6c + 12
96 = 6c + 12
84 = 6c
14 = c
![f(x)=6x+\dfrac{24}{x^2}+3\\ f'(x)=6-\dfrac{48}{x^3}\\ 6-\dfrac{48}{x^3}=0\\ 6x^3-48=0\\ 6x^3=48\\ x^3=8\\ x=2\\ ](https://tex.z-dn.net/?f=f%28x%29%3D6x%2B%5Cdfrac%7B24%7D%7Bx%5E2%7D%2B3%5C%5C%0Af%27%28x%29%3D6-%5Cdfrac%7B48%7D%7Bx%5E3%7D%5C%5C%0A6-%5Cdfrac%7B48%7D%7Bx%5E3%7D%3D0%5C%5C%0A6x%5E3-48%3D0%5C%5C%0A6x%5E3%3D48%5C%5C%0Ax%5E3%3D8%5C%5C%0Ax%3D2%5C%5C%0A)
For
![x](https://tex.z-dn.net/?f=x%3C2%20%5Cwedge%20x%5Cnot%3D0)
the derivative is negative.
For
![x>2](https://tex.z-dn.net/?f=x%3E2)
the derivative is positive.
Therefore at
![x=2](https://tex.z-dn.net/?f=x%3D2)
there's a minimum.
Answer:
5,009.206
Step-by-step explanation:
Answer:
1000 meters is 1 kilometer so...
At total he biked 6 kilometers, 200 meters