Answer:
Feet
Step-by-step explanation:
Answer:
![4 \sin( \frac{2}{7}x ) + 1](https://tex.z-dn.net/?f=4%20%5Csin%28%20%5Cfrac%7B2%7D%7B7%7Dx%20%29%20%20%2B%201)
Step-by-step explanation:
Let use the basic function of sin first.
Since the midline is 1 and the max point is 5, the amplitude is 4.
The midline is 1 since the midline is at 0,1.
Since we know the distance of the max and midline x values
We can multiply that by 4 to find our period.
![\frac{7\pi}{4} \times 4 = 7\pi](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%5Cpi%7D%7B4%7D%20%20%20%20%5Ctimes%204%20%3D%207%5Cpi)
Use the equation 2pi/b to find the b we would use in our equation.
![\frac{2\pi}{b} = 7\pi](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%5Cpi%7D%7Bb%7D%20%20%3D%207%5Cpi)
The answer is
![\frac{2}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B7%7D%20)
so our equation is
![4 \sin( \frac{2}{7}x ) + 1](https://tex.z-dn.net/?f=4%20%5Csin%28%20%5Cfrac%7B2%7D%7B7%7Dx%20%29%20%20%20%2B%201)
Simplifying
5(7x + -3) = 230
Reorder the terms:
5(-3 + 7x) = 230
(-3 * 5 + 7x * 5) = 230
(-15 + 35x) = 230
Solving
-15 + 35x = 230
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 35x = 230 + 15
Combine like terms: -15 + 15 = 0
0 + 35x = 230 + 15
35x = 230 + 15
Combine like terms: 230 + 15 = 245
35x = 245
Divide each side by '35'.
x = 7
Simplifying
x = 7
Answer: B
Step-by-step explanation: