Williams B Mth133 Test

MTH133

Unit 1-2 Individual Project (IP2 in Unit 2)

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 starts in 1996 and shows the trend through the year 2000; therefore x = 0 represents the year 1996 and x = 4 is 2000.

X – axis (horizontal) = years starting from 0 = 1996 and increasing by 1.0 years

Y – axis (vertical) = price in $ amounts

[pic]

a) List the coordinates of any two points on the graph in (x, y) form.

(_0__, _110000__),(__4_, _120000__)

b) Find the slope of this line:

Answer: slope =2500

Show your work here: (120000-110000)/(4-0) = 10000/4=2500

c) Find the equation of this line in slope-intercept form.

Answer: y=2500+110000

Show or explain your work here:

As we know m=2500 and the y-intercept is 110000.

Therefore the equation of the line is y=2500x+110000

d) If the trend for the growth in the median home value continued, what would be its value in the year 2007? Show how you obtained your answer using the equation you found in part c).

Answer: 137500

Show or explain your work here:

year 2007 correspond to x=2007-1996=11.

y = 2500(11)+110000 = 27500 + 110000 = 137500.

2. Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 84 feet.

a) Set up an equation for the perimeter involving only L, the length of the rectangle.

Answer: W=L-3

84 = 2L + 2W = 2L+ 2(L-3) = 4L -6.

b) Solve this equation algebraically to find the length of the rectangle. Find the width as well.

Answer: Length ___22.5___, Width _19.5_____

Show your work here:

84 =4L-6

90 = 4L

L = 90/4 =22.5

W=L-3 = 22.5 - 3 =19.5

3) John has a choice of using one of two parking garages when he visits...