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Marisa, an art gallery owner, gets 40% of the gallery's total monthly sales, s, in dollars. Her monthly expenses for running her business are $2,500, and she hopes to make a profit of at least $1,000 per month. If profit is defined as the amount earned from sales minus monthly expenses, which of the following inequalities best describes this situation? Choose 1 answer: (A) 0.40 s-2,500 >= 1,000 (B) 0.40 s+2,500 >= 1,000 (C) 0.40(s-2,500) >= 1,000 (D) 0.40(s+2,500) >= 1,000

Marisa, an art gallery owner, gets 40% 40 \% of the gallery's total monthly sales, s s , in dollars. Her monthly expenses for running her business are $2,500 \$ 2,500 , and she hopes to make a profit of at least $1,000 \$ 1,000 per month. If profit is defined as the amount earned from sales minus monthly expenses, which of the following inequalities best describes this situation?\newlineChoose 11 answer:\newline(A) 0.40s−2,500≥1,000 0.40 s-2,500 \geq 1,000 \newline(B) 0.40s+2,500≥1,000 0.40 s+2,500 \geq 1,000 \newline(C) 0.40(s−2,500)≥1,000 0.40(s-2,500) \geq 1,000 \newline(D) 0.40(s+2,500)≥1,000 0.40(s+2,500) \geq 1,000

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Q. Marisa, an art gallery owner, gets 40% 40 \% of the gallery's total monthly sales, s s , in dollars. Her monthly expenses for running her business are $2,500 \$ 2,500 , and she hopes to make a profit of at least $1,000 \$ 1,000 per month. If profit is defined as the amount earned from sales minus monthly expenses, which of the following inequalities best describes this situation?\newlineChoose 11 answer:\newline(A) 0.40s−2,500≥1,000 0.40 s-2,500 \geq 1,000 \newline(B) 0.40s+2,500≥1,000 0.40 s+2,500 \geq 1,000 \newline(C) 0.40(s−2,500)≥1,000 0.40(s-2,500) \geq 1,000 \newline(D) 0.40(s+2,500)≥1,000 0.40(s+2,500) \geq 1,000
  1. Calculate Marisa's Earnings: Determine the amount Marisa earns from the gallery's total monthly sales. Marisa earns 40%40\% of the total monthly sales, ss. To find the amount she earns, we multiply the total sales by 40%40\%, which is the same as multiplying ss by 0.400.40. This gives us 0.40s0.40s.
  2. Determine Marisa's Profit: Calculate Marisa's profit. Profit is defined as the amount earned from sales minus monthly expenses. Marisa's monthly expenses are $2,500\$2,500. Therefore, her profit would be the amount she earns from sales 0.40s0.40s minus her expenses $2,500\$2,500, which is represented by the expression 0.40s−2,5000.40s - 2,500.
  3. Set Profit Inequality: Set up the inequality for Marisa's desired profit.\newlineMarisa hopes to make a profit of at least $1,000\$1,000 per month. This means her profit should be greater than or equal to $1,000\$1,000. The inequality that represents this situation is 0.40s−2,500≥1,0000.40s - 2,500 \geq 1,000.
  4. Verify Against Options: Verify the inequality against the provided options.\newlineComparing the derived inequality with the given choices, we see that option (A) 0.40s−2,500≥1,0000.40s - 2,500 \geq 1,000 matches our calculated inequality.

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