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Choice A is correct. It’s given that Tillyearns p dollars for every w hours of work. This can be represented by the proportion pw. The amount of money, x , Tilly earns for 39w hours of work can be found by setting up the proportion pw=x39w This can be rewritten as 39pw = xw. Dividing both sides by w results in x = 39p.
Choice B is incorrect. This is the amount of money Tillyearns in dollars per hour, not the amount of money Tillyearns for 39w hours of work. Choice C is incorrect. This is the amount of money Tillyearns for w hours of work plus 39, not the amount of money Tillyearns for 39w hours of work. Choice D is incorrect. This is the amount of money Tillyearns for w hours of work minus 39, not the amount of money Tillyearns for 39w hours of work.