Discrete Math
Unit 8: Scaling
Video
Unit conversions
Video
Scale Factors
http://bit.ly/1wNgN7Y
http://bit.ly/2l3zPXL
CPI Table
http://bit.ly/1ymZr2f
HW 8.1
1. In a picture, a man measures 2.3 cm. His actual height is 178 cm. He is standing beside a flagpole that measures
7.6 cm in the picture. What is the actual height of the flagpole? what scale factor does this represent?
2. Calculate the scale factor
used to create the reduced
or enlarged objects:
3. If Georgina travels 355 km
in 7 hours, how far will she
travel in 8.5 hours at the same rate?
4. A man in a photograph is 1.2 inches tall. His actual height is 62 inches. What is the scale factor? How tall would
a tree in the photograph be is it is actually 100 inches tall?
HW 8.2
5.
22,647 inches into miles
Convert the following quantities. Show your work.
1. 565,900 seconds into days
6.
2678 cm into feet
7.
60 miles per hour into meters per second
2.
43 miles into feet
8.
130 meters per second into miles per hour
3.
165 pounds into kilograms
9.
1100 feet per second into miles per hour
4.
100 yards into meters
10. 53 yards per hour into inches per week
HW 8.3
Fill in the missing dimensions. Round your answer to the near- 4.
est tenth.
The scale factor for a model is 7 cm = ________ m
Model : 40.4 cm
actual: 80.6 m
1.
The scale factor for a model is 5 cm = ________ m
Model : 9.5 cm
actual: 30.5 m
5.
The scale factor for a model is 15 cm = ________ m
Model : 25.25cm
actual: 55.5 m 2
2.
The scale of a map is 2m = 4 mi
map: 12m
actual: ______ mi
6.
The scale of a map is 7m = 14 mi
map: 28m
actual: ______ mi
3.
The scale of a map is 2 ft = 10.4 mi
map: ________ ft
actual: 20.8 mi
7.
The scale of a map is 30 ft = 5 mi
map: ________ ft
actual: 45.5 mi 4
HW 8.4
1.
The human figures in Lego sets are 4 cm tall (without hats or helmets). Answer the following questions and explain your
reasoning.
(A) What is the linear scaling factor of a Lego figure if it represents a human who is 180 cm tall?
(b) How does the volume of a real human compare with the volume of a Lego figure?
(c) The jeep in one Lego set is 10 cm long. Using the linear scaling factor of part (a), how long would a real jeep be?
HW 8.5
1.
From the CPI table (using the link on the front page, you can determine the rate of inflation from one year to the next. For
example, you find the rate of inflation from 1996 to 1997 by subtracting the two index numbers and dividing by the earlier
one (160.5—156.9)/156.9 = 0.023 = 2.3%..
(a) What is the rate of inflation from January 1999 to January 2000?
(b) What has been the rate of inflation since you started high school to now?
(c) For a 3% rate of inflation per year from 2000 on, what would the CPI be in 2003?