Answer:
The first choice: A triangle that has the same dimensions as either base of the prism.
Step-by-step explanation:
Given:
The graphed point is (60,-20).
To find:
The ordered pair that would form a proportional relationship with the given point.
Solution:
If y is proportional to x, then
![y\propto x](https://tex.z-dn.net/?f=y%5Cpropto%20x)
![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
![\dfrac{y}{x}=k](https://tex.z-dn.net/?f=%5Cdfrac%7By%7D%7Bx%7D%3Dk)
Where, k is the constant of proportionality.
For the given point,
![k=\dfrac{-20}{60}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B-20%7D%7B60%7D)
![k=\dfrac{-1}{3}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B-1%7D%7B3%7D)
For option (A),
![k=\dfrac{30}{-10}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B30%7D%7B-10%7D)
![k=-3\neq \dfrac{-1}{3}](https://tex.z-dn.net/?f=k%3D-3%5Cneq%20%5Cdfrac%7B-1%7D%7B3%7D)
For option (B),
![k=\dfrac{-15}{30}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B-15%7D%7B30%7D)
![k=-\dfrac{1}{2}\neq \dfrac{-1}{3}](https://tex.z-dn.net/?f=k%3D-%5Cdfrac%7B1%7D%7B2%7D%5Cneq%20%5Cdfrac%7B-1%7D%7B3%7D)
For option (C),
![k=\dfrac{10}{-30}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B10%7D%7B-30%7D)
.
The point (-30,10) gives the same value of the constant of proportionality. So, the point (-30,10) forms a proportional relationship with the given point.
Therefore, the correct option is C.
Answer:
5a + 8
Step-by-step explanation:
Let us say, adult tickets = a, student tickets = s, senior tickets = o, and total tickets sold is t.
s=3a
a + 8 = o
s + a + o
Substitute
3a + a + a + 8
Combine like terms
5a + 8
Hope this helps :)
I assume B, since you start with the sum of 16, then break it down and get "9+1=10, 10+6=16"