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A particular company charges advertisers a one time cost of $500\$500, in addition to $4.50\$4.50 for every one thousand times an advertisement is shown on the company's webpage. An advertiser wants its ad to appear MM thousand times on the webpage, but does not want to spend more than $5,000\$5,000. Which of the following inequalities best describes the situation? \newlineChoices: \newline(A) 500+4.50M≥5,000500+4.50M\geq5,000 \newline(B) 4.50+500M>5,000 \newline(C) 500+4.50M≤5,000500+4.50M\leq5,000 \newline(D) 500+4.50M<5,000

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Q. A particular company charges advertisers a one time cost of $500\$500, in addition to $4.50\$4.50 for every one thousand times an advertisement is shown on the company's webpage. An advertiser wants its ad to appear MM thousand times on the webpage, but does not want to spend more than $5,000\$5,000. Which of the following inequalities best describes the situation? \newlineChoices: \newline(A) 500+4.50M≥5,000500+4.50M\geq5,000 \newline(B) 4.50+500M>5,0004.50+500M>5,000 \newline(C) 500+4.50M≤5,000500+4.50M\leq5,000 \newline(D) 500+4.50M<5,000500+4.50M<5,000
  1. Calculate Total Cost: Fixed cost is \$\(500\), and the variable cost is \$\(4\).\(50\) per thousand times the ad is shown. So, the total cost for \(M\) thousand times is \(\$500 + \$4.50 \times M\).
  2. Set Budget Limit Inequality: The advertiser's budget cannot exceed \(\$5,000\). So, the inequality should represent the total cost being less than or equal to \(\$5,000\).
  3. Formulate Inequality: Set up the inequality: \(\$500 + \$4.50 \times M \leq \$5,000\).
  4. Choose Correct Inequality: Now, we need to choose the correct inequality from the given choices that matches our inequality. The correct choice is \([500+4.50M\leq5,000]\).

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