Answer:
(a)
![k=14.5](https://tex.z-dn.net/?f=k%3D14.5)
(b)
![C=14.5x](https://tex.z-dn.net/?f=C%3D14.5x)
(c)
the cost of 8 people is $116
(d)
Graph is attached
Step-by-step explanation:
we are given
It costs $145 for 10 people to attend a concert
(a)
Number of people =10
Total cost =145
now, we can find constant proportionality
k= ( total cost)/(number of people)
![k=\frac{145}{10}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B145%7D%7B10%7D)
![k=14.5](https://tex.z-dn.net/?f=k%3D14.5)
(b)
Let's assume
cost is C
number of people as x
so, we can set equation as
![C=kx](https://tex.z-dn.net/?f=C%3Dkx)
now, we can plug value
![C=14.5x](https://tex.z-dn.net/?f=C%3D14.5x)
(c)
we can plug x=8
![C=14.5\times 8](https://tex.z-dn.net/?f=C%3D14.5%5Ctimes%208)
C=116
So,
the cost of 8 people is $116
(d)
we can draw graph
Answer: For the first part
1250 = 150
1525 = 183
1850 = 222
2200 = 264
Step-by-step explanation:
A. They are equal to each other.
Add up each number and you get 19.53 for both groups then when you divide by 9 ( the amount of individuals in each group) you get 2.17 for both groups so the mean is the same.
Answer:
(-1, 1), (-2, 2), and (-1, 3)
Step-by-step explanation:
The formula for rotation of a point (x,y) by an angle θ about the origin is
x' = xcosθ - ysinθ
y' = ycosθ + xsinθ
If θ = 90°, sinθ = 1 and cosθ = 0, and the formula becomes
x' = -y
y' = x
P: (1, 1) ⟶ (-1, 1)
Q:(2, 2) ⟶ (-2, 2)
R: (3, 1) ⟶ (-1, 3)
The vertices of P'Q'R' are (-1, 1), (-2, 2), and (-1, 3).
The Figure below shows the triangle before and after the rotation.
substituting the value of x and y in the eqn,
3×-2 - ( 4×-2 + 6×3 )
-6 - (-8 + 18 )
-6 - 10
■ -16