Answer: slope: -1/4. Y-intercept: 9/8.
Step-by-step explanation:
Use the slope-intercept form y = mx + b to find the slope m and y-intercept b
A) We know that
![d=vt](https://tex.z-dn.net/?f=d%3Dvt)
where d
![y= \frac{1}{15}x](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B1%7D%7B15%7Dx%20)
= distance,
v = velocity,
t = time
In this case, d = 2 mi., t = 30 min. So we get
![2=30v](https://tex.z-dn.net/?f=2%3D30v)
Dividing both sides by 30, we get
![v= \frac{2}{30}= \frac{1}{15}](https://tex.z-dn.net/?f=v%3D%20%5Cfrac%7B2%7D%7B30%7D%3D%20%5Cfrac%7B1%7D%7B15%7D%20%20)
Thus a function for his walk would be
![y= \frac{1}{15} x](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B1%7D%7B15%7D%20x)
where y = distance and x = number of minutes he walks.
b) Domain of a function is a set of x-values on which the function defined. In this case, the number of minutes is 30 at maximum. So the domain of the function is [0, 30].
I may be wrong, but it seems as if it's fully simplified...
Answer:
a)
Lowell: 4 counselors
Fairview: 9 counselors
b)
2 new counselors
Step-by-step explanation:
How many counselors should be assigned to each school using Hamilton's method?
Number of students
Lowell: 3584
Fairview: 6816
Total number of students: 10400
Divisor D = (Total number of students)/(number of counselors)= 10400/13 = 800
<u>Temporal assignment</u>
3584/800 = 4 + 0.48 ==> 4 counselors for Lowell
6816/800 = 8 + 0.52 ==> 8 counselors for Fairview
There is one counselor left. According to Hamilton's method she should be assigned to the school with the largest remainder, that is Fairview.
<u>Final assignment</u>
Lowell: 4 counselors
Fairview: 9 counselors
The next year, a new school is opened, with 1824 students. Using the divisor from above, determine how many additional counselors should be hired for the new school
1824/800 = 2 + 0.28
<em>Two new counselors should be hired.</em>