1) The following graph shows the growth of the median home value in a particular region of the united states starting in 1996. The graphs start in start in 1996 and shows the trend through the year 2000.
x = axids (horizonal) = years starting from 0 = 1996 and indreasing by 1.0 urstd
y = axis (vertical) = price in $ amount from 92.500 to 127,500
a) List the coordinates of any two points on the graph in (x,y) form. The numbers on the horizontal axis are 1.0,2.0,3.0,4.0, and 5.0.
(____,_____).
b) Find the slope of the fine
c) Find the linear equation of this line in slope-intercept form
d) If the trend for the growth in the median home value continued, what would be its value in the year of 2007?
Show how you obtained your answer using the linear equation you found in part c)
e) If the trend continued, in how many years would the median home value be $ 170,000? Show how you would obtained your answer using the linear equation you found in part c).
2) Suppose that the vidth of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 86 feet.
a) Set up an equation for the perimeter involving only L, the length of the rectangle.
b) Solve the linear equation alphabetically to find the legth of the rectangle. Find the width as as well
Answer: Length_____,Width_____
c) Using the same width from your answer in part b), find a new perimeter when the new length is five less than three times the width.
3) John has a choice of using one or two parking garages downtown.
Option 1: $8 an hour for the first two hours, then $2 for each hour more than 2; or
Option 2: $4 for each hour
Let x = total hours parking
a) Write a mathematical model representing the total parking cost c, in terms of x for the following (assume John is parking for more than 2 hours):
Option 1: C=_________
Option 2 C=_________
b) John plans to spend the day downtown (more than 2 hours), how many total hours would John have to park for the cost of otion 1 to be less than option 2.
Set up an inequatlty and show your work algebraically using the information in part a).
c) Summarize your findings in a brief sentence.
4) Graph the following equation by completing the tables and plotting the points..
You may use Excel or another web-based graphing utility.
a) Complete the table with the given values of x and the equation y = -1/2+3
x y
-2
0
b) Graph the equation here by plotting the point from your table.
c) Graph the equation here by plotting the points from your table.
