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Complete question
Asif wants to open a lemonade stand during a town fair. He buys a pitcher and lemonade concentrate from a store for this purpose. At the lemonade stand, the cost for each cup of lemonade will be the same. If Asif sells 32 cups of lemonade, he will have a profit of $0. If he sells 45 cups of lemonade, he will have a profit of $16.25. Determine the rate of change for a function that represents Asif's profit, y, in dollars, from selling x cups of lemonade.
Answer:
Step-by-step explanation:
The rate of Change for the function that determines profit :
Slope value, m ;
Slope, m = Rise / Run = (y2-y1) / (x2 - x1)
y2 = 16.25 ; y1= 0 ; x2 = 45 ; x1 = 32
m = (16.25 - 0) / (45 - 32)
m = 16.25 / 13
m = 1.25
Hence, the rate of change in in profit for selling x k cuos of lemonade = $1.25
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