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Chapter 10: Q16 (page 603)

Use cross products to determine whether each pair of ratios forms a proportion. Write yes or no.

23and 49

Short Answer

Expert verified

The given pair of ratios does not form a proportion. So, final answer is 鈥渘o鈥�.

Step by step solution

01

Step 1. Define a ratio.

The ratio of the two numbers x and y is defined as x:y=xy, where, y鈮�0.

02

Step 2. Use cross products to determine whether the pair of ratios ab and cd forms a proportion.

The pair of ratioab andcd forms a proportion if, a.d=b.c.

03

Step 3. Use cross products to determine whether the pair of ratios 23 and 49 forms a proportion.

Cross multiply the numbers.

2脳9=183脳4=12

Since,18鈮�12

Hence, the ratios23 and49 are not in proportion.

Therefore, the given pair of ratios does not form a proportion. So, final answer is 鈥渘o鈥�.

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