Pattern B consists of four tiles like pattern A. Write a proportion involving hollow dots and solid dots in pattern A and B. Are they in direct proportion? If yes, write the constant of proportion.

Solution:

The number of solid dots in Pattern A = 4

Number of hollow dots in Pattern A = 2

The Ratio of hollow dots to solid dots = 2/4 = 1/2

The number of solid dots in Pattern B = 16

Number of hollow dots in Pattern B = 8

The Ratio of Hollow dots to solid dots = 8/16 = 1/2

Therefore the constant of proportion is k = 1/2 in both patterns A and B

✦ Try This: What is ratio of the the hollow dots to solid dots in Pattern A and B? Is the proportion of hollow dots to total number of dots in Pattern A and B same?

Ratio of hollow dots to solid dots in Pattern A = 2/3

Ratio of hollow dots to solid dots in Pattern B = 1/4

Ratio of hollow dots to total number of dots in pattern A = 2/5

Ratio of hollow dots to total number of dots in pattern B = 1/5

Hence the ratio of hollow dots to total number of dots in the Pattern A and B are not the same.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13

NCERT Exemplar Class 8 Maths Chapter 10 Problem 98

Pattern B consists of four tiles like pattern A. Write a proportion involving hollow dots and solid dots in pattern A and B. Are they in direct proportion? If yes, write the constant of proportion

Summary:

Pattern B consists of four tiles like pattern A.The ratio of the hollow dots to solid dots in Pattern A and B are 1/2 and 1/2. The proportion of hollow dots to the total number of dots in Pattern A and B is the same. The constant of proportion is k = 1/2

☛ Related Questions:

• A bowler throws a cricket ball at a speed of 120 km/h. How long does this ball take to travel a dist . . . .
• The variable x is inversely proportional to y. If x increases by p%, then by what percent will y dec . . . .
• (a) Find the ratio of white keys to blue keys on the keyboard. (b) What is the ratio of blue keys to . . . .