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24 March, 09:45

The expression 2 (21x+75) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children to join a science club. What do we each of the following represent, in context, for the Above expression

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  1. 24 March, 09:48
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    See answer and explanation below.

    Explanation:

    1. The constant term 75 represents the one-time fee for each of his two children, since it is a fixed amount, meaning that it does not change, neither increase nor decrease, as the months pass on.

    2. 21x is the product of the monthly tuition paid by each of his two children by the number of months since they join the science club.

    As you see the total tuition increases at a constant rate, the monthly tuition (21). So, 21 is the monthly tuition (a rate) per children.

    3. The coefficient 2 represents the two children, because Jaimie pays 21x + 75 per each one:

    (21x + 75) + (21x + 75) = 2 * (21x + 75) = 2 (21x + 75).
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