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Solve the problem. On a hot day, a child can sell 31 cups of lemonade if...

Solve the problem.

On a hot day, a child can sell 31 cups of lemonade if she charges $1.00 per cup. If she raises the price to $1.50 she will sell 24 cups. Let f(x) denote the number of cups of lemonade sold per day when the price is x dollars. Assume that f(x) is a linear function of x. How many cups will the child sell if she sets the price to $1.75 per cup? (If necessary, round to the nearest whole cup.)

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