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Alana is selling handmade jewelry to earn money for camp. Bracelets sell for $5\$5 and necklaces sell for $30\$30, and she needs to make at least $620\$620 in revenue to cover the cost of camp.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of bracelets\newliney=y = the number of necklaces\newlineChoices:\newline(A) 30x+5y≥62030x + 5y \geq 620\newline(B) 30x×5y≥62030x \times 5y \geq 620\newline(C) 5x−30y≥6205x - 30y \geq 620\newline(D) 5x+30y≥6205x + 30y \geq 620

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Q. Alana is selling handmade jewelry to earn money for camp. Bracelets sell for $5\$5 and necklaces sell for $30\$30, and she needs to make at least $620\$620 in revenue to cover the cost of camp.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of bracelets\newliney=y = the number of necklaces\newlineChoices:\newline(A) 30x+5y≥62030x + 5y \geq 620\newline(B) 30x×5y≥62030x \times 5y \geq 620\newline(C) 5x−30y≥6205x - 30y \geq 620\newline(D) 5x+30y≥6205x + 30y \geq 620
  1. Calculate Revenue per Item: Determine the revenue per item. Alana sells bracelets for $5\$5 each and necklaces for $30\$30 each. Therefore, the revenue from selling xx bracelets is 5x5x dollars and the revenue from selling yy necklaces is 30y30y dollars.
  2. Form Combined Revenue Inequality: Combine the revenues to form an inequality. Alana needs to make at least $620\$620, so the combined revenue from bracelets and necklaces must be greater than or equal to $620\$620. The inequality that represents this situation is 5x5x (bracelets revenue) plus 30y30y (necklaces revenue) must be at least $620\$620.
  3. Write Inequality in Standard Form: Write the inequality in standard form. The standard form of an inequality is Ax+By≥CAx + By \geq C, where AA and BB are coefficients and CC is a constant. In this case, AA is the revenue per bracelet, BB is the revenue per necklace, and CC is the total revenue needed. Therefore, the inequality is 5x+30y≥6205x + 30y \geq 620.

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