In order to earn some extra money, Ed is mowing lawns. He charges $12 to mow a small lawn and $20 to mow a large lawn. He would like to make at least $100. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of small lawns y = the number of large lawns Choices: (A)12x + 20y ≥ 100 (B)12x + 20y ≤ 100 (C)12x - 20y ≤ 100 (D)12x * 20y ≥ 100

Question

In order to earn some extra money, Ed is mowing lawns. He charges $12 to mow a small lawn and $20 to mow a large lawn. He would like to make at least $100.  Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of small lawns y = the number of large lawns     Choices: (A)12x + 20y ≥ 100 (B)12x + 20y ≤ 100 (C)12x - 20y ≤ 100 (D)12x * 20y ≥ 100

Bytelearn · Accepted Answer

Calculate small lawn earnings: Determine the earnings for each small lawn mowed. Ed charges $12 for each small lawn, so the total earnings from mowing small lawns can be represented by 12x, where x is the number of small lawns mowed. Calculate large lawn earnings: Determine the earnings for each large lawn mowed. Ed charges $20 for each large lawn, so the total earnings from mowing large lawns can be represented by 20y, where y is the number of large lawns mowed. Combine total earnings: Combine the earnings from both small and large lawns to represent Ed's total earnings. This is done by adding the earnings from small lawns and large lawns together, which gives us 12x + 20y. Formulate earnings inequality: Since Ed wants to make at least $100, the inequality must show that his total earnings are greater than or equal to $100. Therefore, the inequality that represents this situation is 12x + 20y ≥ 100.

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