SOLUTION: This is a linear equation word problem. The students store sells candy at a specific price but must purchase the candy in bulk once at the beginning of the month. After the firs

Question 1057062: This is a linear equation word problem. The students store sells candy at a specific price but must purchase the candy in bulk once at the beginning of the month.
After the first day, the store has sold 10 pieces of candy but the store's profit is $-312.50.
After the last day of the month, the store has sold 375 pieces of candy and the store's profit is now $143.75.
Using your understanding of linear functions, determine how many pieces of candy the student store sold to break even (when profit is equal to$0.00). Explain how you arrived at your answer using complete sentences and/or mathematical equations and symbols.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
This is a linear equation word problem. The students store sells candy at a specific price but must purchase the candy in bulk once at the beginning of the month.
After the first day, the store has sold 10 pieces of candy but the store's profit is $-312.50.
After the last day of the month, the store has sold 375 pieces of candy and the store's profit is now $143.75.
Using your understanding of linear functions, determine how many pieces of candy the student store sold to break even (when profit is equal to$0.00). Explain how you arrived at your answer using complete sentences and/or mathematical equations and symbols.
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You have two points pairing candy with profit::(10,-312.5) and (375,143.75)
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slope = (143.75--312.5)/(375-10) = 1.25
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Form:: y = mx + b
Substitute for x,y and m ; solve for "b".
143.75 = 1.25*375 + b
b = -325
y = 1.25x - 325
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Ans::
Solve:: 1.25x - 325 = 0
1.25x = 325
x = 260 (# of pieces of candy sold to break even
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Cheers,
Stan H.
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