Answer:
--- The equation
The median income in 2030 is $75000
Step-by-step explanation:
Given
Represent years since 1990 with x and the income with y.
So, we have:
--- In 1990
--- In 2006
Solving (a): Express as a function.
First, we calculate the slope
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
![m = \frac{48000-30000}{16-0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B48000-30000%7D%7B16-0%7D)
![m = \frac{18000}{16}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B18000%7D%7B16%7D)
![m = 1125](https://tex.z-dn.net/?f=m%20%3D%201125)
The equation is then calculated as:
![y = m(x-x_1)+y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x-x_1%29%2By_1)
This gives:
![y = 1125(x-0)+30000](https://tex.z-dn.net/?f=y%20%3D%201125%28x-0%29%2B30000)
Open bracket
![y = 1125x-0+30000](https://tex.z-dn.net/?f=y%20%3D%201125x-0%2B30000)
![y = 1125x+30000](https://tex.z-dn.net/?f=y%20%3D%201125x%2B30000)
Solving (b): Income in 2030.
In 2030, x = 40.
Substitute 40 for x in ![y = 1125x+30000](https://tex.z-dn.net/?f=y%20%3D%201125x%2B30000)
![y = 1125*40 +30000](https://tex.z-dn.net/?f=y%20%3D%201125%2A40%20%2B30000)
![y = 45000 +30000](https://tex.z-dn.net/?f=y%20%3D%2045000%20%2B30000)
![y = 75000](https://tex.z-dn.net/?f=y%20%3D%2075000)
Solving (c): The significance of the slope.
In (a), the slope is calculated as 1125.
This implies that the yearly rate is $1125
Answer:
Parallel
Step-by-step explanation:
8/4=2
12/4=3
16/4=4
20/4=5
24/4=6
28/4=7
32/4=8
36/4=9
40/4=10
Your answer would be C. 9
If we are talking about question 3, then it should be D