Answer:
The correct answer is:
Matthew's rate is higher by $50 per month.
Step-by-step explanation:
We know that Christopher's rate is $550 per month.
To find Matthew's rate, we will treat the data we have as ordered pairs:
(3, 1800)
(6, 3600)
(9, 5400)
We find the slope of the line between these points. The formula for slope is:
Using the first two points, we have:
To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:
Matthew's rate is $600 per month.
This is higher than Christopher's by 600-550=$50 per month.
So if point W is somewhere on the line segment UV, then the equation UV = UW + WV is true.
![UV = UW + WV\\(13)=(2y-9)+(y-5)\\13=2y-9+y-5\\13=(2y+y)+[(-9)+(-5)]\\13=3y-14\\27=3y\\\\y=9](https://tex.z-dn.net/?f=UV%20%3D%20UW%20%2B%20WV%5C%5C%2813%29%3D%282y-9%29%2B%28y-5%29%5C%5C13%3D2y-9%2By-5%5C%5C13%3D%282y%2By%29%2B%5B%28-9%29%2B%28-5%29%5D%5C%5C13%3D3y-14%5C%5C27%3D3y%5C%5C%5C%5Cy%3D9)
There's probably a mistake in the problem; as written the answer is none of the above.
We have slope from the first two points of (4-2)/(0-4) = -1/2 and a y intercept from the second point of 4 so
f(x) = (-1/2) x + 4
maybe that's the third choice; forgot the fraction bar.
Answer:
Simply put, algebra is about finding the unknown or putting real life variables into equations and then solving them. ... Algebra can include real numbers, complex numbers, matrices, vectors, and many more forms of mathematic representation
Step-by-step explanation:
