Furlongs and Miles Conversion Problems

This video tutorial covers the concept of proportional relationships, focusing on how to represent them using tables. It explains the constant ratio between two quantities, using examples like miles to furlongs and years to months. The video demonstrates how to calculate distances using these ratios and how to extend tables using patterns. It concludes with a brief introduction to the next lesson on representing proportional relationships with equations.

What is a proportional relationship?

• A relationship where two quantities are equal.

• A relationship where one quantity is always greater than the other.

• A relationship where one quantity is always less than the other.

• A relationship where the ratio of two quantities is constant.

In a proportional relationship, if the numerator increases by 1, what happens to the denominator in the given example?

• It remains the same.

• It is divided by 2.

• It decreases by 1.

• It is multiplied by 2.

What is a furlong?

• A unit of volume.

• A unit of distance.

• A unit of weight.

• A unit of time.

How many furlongs are in one mile?

• 4 furlongs

• 6 furlongs

• 8 furlongs

• 10 furlongs

What is the simplest form of the ratio of 16 furlongs to 2 miles?

• 2 to 1

• 16 to 2

• 8 to 1

• 4 to 1

If you have 6 miles, how many furlongs is that?

• 54 furlongs

• 36 furlongs

• 42 furlongs

• 48 furlongs

To find the distance in miles from furlongs, you should:

• Multiply the furlongs by 8.

• Subtract 8 from the furlongs.

• Divide the furlongs by 8.

• Add 8 to the furlongs.

What is the distance in furlongs that corresponds to 7 miles?

• 48 furlongs

• 52 furlongs

• 56 furlongs

• 60 furlongs

In the years to months table, what is the ratio of years to months?

• 1 to 13

• 1 to 10

• 1 to 11

• 1 to 12

If 12 times 5 is 60, what is the value of y in the proportion 1 to 12 equals y to 60?

• 4

• 7

• 5

• 6