SOLUTION: I have 5 questions and have put them all together. I would appreciate some help. Thank you kindly. A. Find the rate of change for the ramp represented in the graph. http://w

Algebra ->  Linear-equations -> SOLUTION: I have 5 questions and have put them all together. I would appreciate some help. Thank you kindly. A. Find the rate of change for the ramp represented in the graph. http://w      Log On


   



Question 937560: I have 5 questions and have put them all together. I would appreciate some help. Thank you kindly.
A. Find the rate of change for the ramp represented in the graph.
http://www.usatestprep.com/modules/gallery/files/8/869/869.png
B. What is the y-intercept of y = 2/sv + 2
C. Find the equation of the line.
http://www.usatestprep.com/modules/gallery/files/4/451/451.png
D.
A city had population 67,255 on January 1, 2000, and its population has been increasing by 2935 people each year since then. A linear model for the population P, where t is in years after 2000, is
a. P(T) = 2935t
b. P(t) = 67225t
c. P(t) = 2935 + 67255t
d. P(t) = 67255 + 3955t
E. Write an equation of the line that has a slope of -2/3 and a y intercept of -2?
a. 2x + 3y = -6
b. 2x + 3y = 6
c. 2x - 3y = -6
d. 2x - 3y = 6

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
A.
points are: (0,0) (15,5)
The slope of a line is a rate of change.
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%285-0%29%2F%2815-0%29
m=5%2F15
m=1%2F3
B. What is the y-intercept of y+=+2%2Fsv+%2B+2
the y-intercept is a point where x coordinate is zero: (0,b)
recall the slope-intercept form of linear equation y=mx%2Bb where m=slope and b=y-intercept
compare it to y+=+2%2Fsv+%2B+2 and you see that y-intercept is b=2 or at point (0,2)

C. Find the equation of the line.

points are: (0,1) (-3%2F2,0)
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%280-1%29%2F%28-3%2F2-0%29
m=-1%2F%28-3%2F2%29
m=2%2F3

y=mx%2B%28y%5B1%5D-mx%5B1%5D%29 plug in (0,1) and m=2%2F3
y=%282%2F3%29x%2B%281-%282%2F3%29%2A0%29%29

y=%282%2F3%29x%2B1


D.
linear equation: y=mx%2Bb
if a city had population 67255 on January 1, 2000 means the constant value or b=+67255
and if its population has been increasing by 2935 people each year since then:means m=2935+ is rate of change or slope and x=t represents years
so,a linear model for the population P, where t is in years after 2000, is:
P%28T%29=2935%2At%2B67255
answer: d. P(t) = 67255 + 3955t-> I believe this is mistake, should be 2935t


E. Write an equation of the line that has a slope of -%282%2F3%29 and a y-+intercept of -2?
linear equation y=mx%2Bb where m=slope and b=y-intercept
if m=-%282%2F3%29 and b=-2, we have
y=-%282%2F3%29x-2