The answer is 18.2% and I got that by 465,000/2,560,000 which equals 0.18164. After that round it up to 18.2%.
Answer:
(1)
Karen: ![y = 2x +3](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B3)
Alice: ![y = 2x +1](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B1)
(2): Slope is 2
(3) y intercept
--- For Karen
--- For Alice
(4) They do not intersect
(5) No solution
(6) No
Step-by-step explanation:
Given
![x = loaves](https://tex.z-dn.net/?f=x%20%3D%20loaves)
![y = amount](https://tex.z-dn.net/?f=y%20%3D%20amount)
Solving (1): Complete the equation.
For Karen:
--- the rate
--- additional spendings
For Alice:
--- the rate
--- additional spendings
The general equation is;
![y = mx +b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2Bb)
For Karen, it becomes
![y = 2x +3](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B3)
For Alice, it is:
![y = 2x +1](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B1)
(2): The slopes.
In (1), we have:
--- the rate (for both Karen and Alice).
This rate implies the slope.
<em>Hence, the slope is 2</em>
(3): The y intercept.
The additional spendings in (1) means the y intercept.
So, we have:
--- For Karen
--- For Alice
(4) Because they have the same slope, they do not intersect
(5) Number of solutions.
![y = 2x +3](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B3)
![y = 2x +1](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B1)
Subtract both equations
![y-y = 2x-2x +3-1](https://tex.z-dn.net/?f=y-y%20%3D%202x-2x%20%2B3-1)
![0 = 2](https://tex.z-dn.net/?f=0%20%3D%202)
This means there is no solution
(6) Can they spend the same amount on the same number of loaves
In (5), the equations have no solution
<em>Hence, it is not possible to spend the same amount for the same number of loaves</em>
It will be (6,4) all u do is slip it over t he x-axis
Answer:
f(3)=3
Step-by-step explanation:
Plugin 3 for x, and simplify
f(x) =5(x)−12
f(3) =5(3)−12
=15−12
f(3)=3