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Noah, a mechanic, earns $23\$23 for every oil change he performs and $62\$62 for every tune-up. He needs to earn over $1,500\$1,500 today to be able to pay the rent for his business and still have some money left over.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of oil changes Noah will do today\newliney=y = the number of tune-ups Noah will do today\newlineChoices:\newline(A) 23x + 62y > 1,500\newline(B) 62x+23y1,50062x + 23y \geq 1,500\newline(C) 62x + 23y > 1,500\newline(D) 23x+62y1,50023x + 62y \geq 1,500

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Q. Noah, a mechanic, earns $23\$23 for every oil change he performs and $62\$62 for every tune-up. He needs to earn over $1,500\$1,500 today to be able to pay the rent for his business and still have some money left over.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of oil changes Noah will do today\newliney=y = the number of tune-ups Noah will do today\newlineChoices:\newline(A) 23x+62y>1,50023x + 62y > 1,500\newline(B) 62x+23y1,50062x + 23y \geq 1,500\newline(C) 62x+23y>1,50062x + 23y > 1,500\newline(D) 23x+62y1,50023x + 62y \geq 1,500
  1. Calculate oil change earnings: Noah earns $23\$23 per oil change.\newlineNumber of oil changes: xx\newlineTotal earnings from oil changes: 23×x=23x23 \times x = 23x
  2. Calculate tune-up earnings: Noah earns $62\$62 per tune-up.\newlineNumber of tune-ups: yy\newlineTotal earnings from tune-ups: 62×y=62y62 \times y = 62y
  3. Total earnings needed: Total earnings needed: over $1,500\$1,500. Total earnings from oil changes and tune-ups: 23x+62y23x + 62y Inequality to represent Noah's earnings being over $1,500\$1,500: 23x + 62y > 1,500

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