Final answer:
Cross multiplication was used to solve the proportion, resulting in k=4.32. None of the provided answer options match this calculated value.
Step-by-step explanation:
The subject of the question involves solving a proportion using the method of cross multiplication. Start by writing the proportion: 8/k = 5/2.7. You then perform cross multiplication, resulting in the equation: 5 * k = 8 * 2.7. Simplify this to give 5k = 21.6. We solve for k by dividing both sides by 5. Therefore, the value of k that satisfies the equation is k = 21.6/5 which equals 4.32. Checking the options provided, none matches the computed value so there may be a mistake in the provided options.
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