a) For each of the following, determine whether the quantities are proportional. If they are, write the proportion.
1. 5, 8, 15, 24
2. 12, 27, 16, 18
Solution using cross-multiplication (product of means = product of extremes):
1. For 5, 8, 15, 24:
Check if 5 × 24 = 8 × 15
Therefore, these quantities are proportional: \[ \frac{5}{8} = \frac{15}{24} \]
2. For 12, 27, 16, 18:
Check if 12 × 18 ≠ 27 × 16
Therefore, these quantities are NOT proportional.
1. For 5, 8, 15, 24:
Check if 5 × 24 = 8 × 15
Therefore, these quantities are proportional: \[ \frac{5}{8} = \frac{15}{24} \]
2. For 12, 27, 16, 18:
Check if 12 × 18 ≠ 27 × 16
Therefore, these quantities are NOT proportional.
MR/Nasef.N
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