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In order to earn some extra money, Maria is mowing lawns. She charges $10\$10 to mow a small lawn and $28\$28 to mow a large lawn. She would like to make at least $110\$110. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x=x = the number of small lawns y=y = the number of large lawns\newlineChoices:\newline(A) 10x+28y≥11010x + 28y \geq 110\newline(B) 28x+10y≥11028x + 10y \geq 110\newline(C) 10x+28y≤11010x + 28y \leq 110\newline(D) 28x+10y≤11028x + 10y \leq 110

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Q. In order to earn some extra money, Maria is mowing lawns. She charges $10\$10 to mow a small lawn and $28\$28 to mow a large lawn. She would like to make at least $110\$110. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x=x = the number of small lawns y=y = the number of large lawns\newlineChoices:\newline(A) 10x+28y≥11010x + 28y \geq 110\newline(B) 28x+10y≥11028x + 10y \geq 110\newline(C) 10x+28y≤11010x + 28y \leq 110\newline(D) 28x+10y≤11028x + 10y \leq 110
  1. Identify Charges and Goal: Identify the charges for each type of lawn and the goal for total earnings. Maria charges $10\$10 for each small lawn and $28\$28 for each large lawn. She wants to make at least $110\$110.
  2. Define Variables: Define the variables according to the problem. Let xx be the number of small lawns Maria mows, and yy be the number of large lawns she mows.
  3. Create Inequality: Create an inequality to represent the situation. The total amount of money Maria makes from mowing small lawns is $10\$10 times the number of small lawns 10x10x, and the total amount from large lawns is $28\$28 times the number of large lawns 28y28y. Since she wants to make at least $110\$110, the inequality will be 10x+28y≥11010x + 28y \geq 110.
  4. Match with Choices: Match the inequality with the given choices. The correct inequality that represents Maria's goal is 10x+28y≥11010x + 28y \geq 110, which corresponds to choice (A)(A).

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