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Lexi’s dad will give her $3 an hour and all of her supplies if she runs her own lemonade stand. She charges $0.25 for each glass. If Lexi sells 150 glasses of lemonade, what expression could be used to determine how much money she earns?(A) 3 + 0.25x, where x is the number of glasses of lemonade(B) 3x + 37.50, where x is the number of hours spent running the lemonade stand(C) 3x + 0.25x, where x is the number of hours spent running the lemonade stand(D) 3x + 150, where x is the number of hours spent running the lemonade stand(E) 3x + 0.25x + 37.50, where x is the number of glasses of lemonade

Question

Lexi’s dad will give her 3anhourandallofhersuppliesifsherunsherownlemonadestand.Shecharges3 an hour and all of her supplies if she runs her own lemonade stand. She charges 0.25 for each glass. If Lexi sells 150 glasses of lemonade, what expression could be used to determine how much money she earns?(A) 3 + 0.25x, where x is the number of glasses of lemonade(B) 3x + 37.50, where x is the number of hours spent running the lemonade stand(C) 3x + 0.25x, where x is the number of hours spent running the lemonade stand(D) 3x + 150, where x is the number of hours spent running the lemonade stand(E) 3x + 0.25x + 37.50, where x is the number of glasses of lemonade

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Solution

The correct expression would be (A) 3 + 0.25x, where x is the number of glasses of lemonade. This is because Lexi earns 3perhourand3 per hour and 0.25 for each glass of lemonade she sells. The number of hours she works does not affect the amount she earns from selling lemonade, so it is not included in the expression. The total amount she earns is the sum of her hourly wage and the money she earns from selling lemonade.

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