C,f and b I think because u only look at the x and nothing else but when u looking in a linear graph u do a the straight line test
A) The constant of proportionality in this proportional relationship is ![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
B) The equation to represent this proportional relationship is y = 0.2x
<h3><u>Solution:</u></h3>
Given that,
The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month
Therefore,
This is a direct variation proportion
![\text{ amount Naomi pays each month } \propto \text{ number of international texts she sends that month}](https://tex.z-dn.net/?f=%5Ctext%7B%20amount%20Naomi%20pays%20each%20month%20%7D%20%5Cpropto%20%5Ctext%7B%20number%20of%20international%20texts%20she%20sends%20that%20month%7D)
Let "y" be the amount that Naomi pays each month
Let "x" be the number of international texts she sends that month
Therefore,
![y \propto x](https://tex.z-dn.net/?f=y%20%5Cpropto%20x)
y = kx -------- eqn 1
Where, "k" is the constant of proportionality
Thus the constant of proportionality in this proportional relationship is:
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
<em><u>Last month, she paid $3.20 for 16 international texts</u></em>
Therefore,
y = 3.20
x = 16
Thus from eqn 1,
![3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2](https://tex.z-dn.net/?f=3.20%20%3D%20k%20%5Ctimes%2016%5C%5C%5C%5Ck%20%3D%20%5Cfrac%7B3.20%7D%7B16%7D%5C%5C%5C%5Ck%20%3D%200.2)
Substitute k = 0.2 in eqn 1
y = 0.2x
The equation would then be y = 0.2x
Answer:
9.55 cm
Step-by-step explanation:
The circumference is also called the perimeter, which is the length of the outline of any shape.
So,
![Perimeter = \pi *diameter\\30 cm = \pi * d\\\\d = \frac{30}{\pi} cm\\\\d=9.54929658551\:cm\\d=9.55\:cm](https://tex.z-dn.net/?f=Perimeter%20%3D%20%5Cpi%20%2Adiameter%5C%5C30%20cm%20%3D%20%5Cpi%20%2A%20d%5C%5C%5C%5Cd%20%3D%20%5Cfrac%7B30%7D%7B%5Cpi%7D%20cm%5C%5C%5C%5Cd%3D9.54929658551%5C%3Acm%5C%5Cd%3D9.55%5C%3Acm)