**Problem 1 :**

In 1870, the French writer Jules Verne published 20,000 Leagues Under the Sea, one of the most popular science fiction novels ever written. One definition of a league is a unit of measure equaling 3 miles.

A. What relationships do you see among the numbers in the table ?

B. For each column of the table, find the ratio of the distance in miles to the distance in leagues. Write each ratio in simplest form.

C. What do you notice about the ratio ?

D. If you know the distance between two points in leagues, how can you find the distance in miles ?

E. If you know the distance between two points in miles, how can you find the distance in leagues ?

**Problem 2 : **

The table shows the relationship between temperatures measured on the Celsius and Fahrenheit scales.

A. Is the relationship between the temperature scales proportional ? Why or why not ?

B. Describe the graph of the Celsius-Fahrenheit relationship.

**Problem 3 :**

The table shows the relationship between length of side of square, perimeter of square and area of square.

A. Are the length of a side of a square and the perimeter of the square related proportionally ? Why or why not ?

B. Are the length of a side of a square and the area of the square related proportionally ? Why or why not ?

**Problem 1 :**

In 1870, the French writer Jules Verne published 20,000 Leagues Under the Sea, one of the most popular science fiction novels ever written. One definition of a league is a unit of measure equaling 3 miles.

A. What relationships do you see among the numbers in the table ?

Every number in the bottom row is 3 times the number in the top row.

B. For each column of the table, find the ratio of the distance in miles to the distance in leagues. Write each ratio in simplest form.

3 : 1 = 3 : 1

6 : 2 = 3 : 1

18 : 6 = 3 : 1

36 : 12 = 3 : 1

60,000 : 20,000 = 3 : 1

C. What do you notice about the ratio ?

They are all equal to 3 : 1.

D. If you know the distance between two points in leagues, how can you find the distance in miles ?

Multiply the distance in leagues by 3.

E. If you know the distance between two points in miles, how can you find the distance in leagues ?

Divide the distance in miles by 3.

**Problem 2 :**

The table shows the relationship between temperatures measured on the Celsius and Fahrenheit scales.

A. Is the relationship between the temperature scales proportional ? Why or why not ?

No; the ratios of the numbers in each column are not equal.

B. Describe the graph of the Celsius-Fahrenheit relationship.

A line starting at (0, 32) and slanting upward to the right.

**Problem 3 :**

The table shows the relationship between length of side of square, perimeter of square and area of square.

A. Are the length of a side of a square and the perimeter of the square related proportionally ? Why or why not ?

Yes. The ratio of the perimeter of a square to its side length is always 4.

B. Are the length of a side of a square and the area of the square related proportionally ? Why or why not ?

No. The ratio of the area of a square to its side length is not constant.

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

You can also visit the following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**