Final answer:The cost of a ham sandwich varies directly with the number of sandwiches. The constant of variation is found to be $6 per sandwich. Therefore, when the number of sandwiches is 3, the cost would be $18.Explanation:You're asked to solve a problem related todirect variation, which is a concept inmathematics. In direct variation, the cost 'c' varies directly as the number of sandwiches 'n'. This can be represented as the equation c = kn, where 'k' is a constant.In this problem, it is given that the cost is $54 when 'n' is 9. Plugging these values into the equation, we can find 'k': 54 = k * 9, which simplifies to: k = 6. This constant means that each sandwich costs $6.Next, we use this constant 'k' to find the cost when 'n' is 3. Using the equation, c = 6 * 3, we get the cost 'c' as $18.So, when 'n' is 3, the cost of the sandwiches is $18.Learn more about Direct Variation here:brainly.com/question/34355670#SPJ2...

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