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The band teacher promises his class a pizza party if, during the fall fundraiser, they exceed the fundraising goal of $2,100\$2,100. The students make $1\$1 for each candy bar sold and $4\$4 for each box of cookies.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of candy bars\newliney=y = the number of boxes of cookies\newlineChoices:\newline(A) 4x + y < 2,100\newline(B) x + 4y < 2,100\newline(C) x + 4y > 2,100\newline(D) 4x + y > 2,100

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Q. The band teacher promises his class a pizza party if, during the fall fundraiser, they exceed the fundraising goal of $2,100\$2,100. The students make $1\$1 for each candy bar sold and $4\$4 for each box of cookies.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of candy bars\newliney=y = the number of boxes of cookies\newlineChoices:\newline(A) 4x+y<2,1004x + y < 2,100\newline(B) x+4y<2,100x + 4y < 2,100\newline(C) x+4y>2,100x + 4y > 2,100\newline(D) 4x+y>2,1004x + y > 2,100
  1. Define Variables: Define the variables based on the information given.\newlineThe number of candy bars sold is represented by xx.\newlineThe number of boxes of cookies sold is represented by yy.\newlineEach candy bar sold contributes $1\$1 to the fundraising total.\newlineEach box of cookies sold contributes $4\$4 to the fundraising total.
  2. Determine Total Amount: Determine the total amount of money raised.\newlineThe total amount of money raised from candy bars is $1\$1 times the number of candy bars, which is 1×x1 \times x or simply xx.\newlineThe total amount of money raised from boxes of cookies is $4\$4 times the number of boxes of cookies, which is 4×y4 \times y.\newlineThe total amount of money raised is the sum of the money from candy bars and cookies, which is x+4yx + 4y.
  3. Formulate Inequality: Formulate the inequality based on the fundraising goal.\newlineThe fundraising goal is $2,100\$2,100, and the band teacher promises a pizza party if this amount is exceeded.\newlineTo exceed the goal, the total amount of money raised must be greater than $2,100\$2,100.\newlineTherefore, the inequality that represents this situation is x + 4y > 2,100.
  4. Select Correct Inequality: Select the correct inequality from the given choices.\newlineThe correct inequality that we have determined is x + 4y > 2,100.\newlineLooking at the choices given:\newline(A) 4x + y < 2,100 (Incorrect, as it suggests the total is less than the goal and the coefficients are incorrect)\newline(B) x + 4y < 2,100 (Incorrect, as it suggests the total is less than the goal)\newline(C) x + 4y > 2,100 (Correct, as it suggests the total is greater than the goal)\newline(D) 4x + y > 2,100 (Incorrect, as the coefficients are incorrect)\newlineThe correct choice is (C) x + 4y > 2,100.

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