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4 markers cost $7.04. Which equation would help determine the cost of 7 markers? Choose 1 answer: (A) (4)/(7)=($7.04)/(x) (B) (x)/(7)=(4)/($7.04) (C) (7)/(x)=($7.04)/(4) (D) (4)/(7)=(x)/($7.04) (E) None of the above

44 markers cost $7.04 \$ 7.04 .\newlineWhich equation would help determine the cost of 77 markers?\newlineChoose 11 answer:\newline(A) 47=$7.04x \frac{4}{7}=\frac{\$ 7.04}{x} \newline(B) x7=4$7.04 \frac{x}{7}=\frac{4}{\$ 7.04} \newline(C) 7x=$7.044 \frac{7}{x}=\frac{\$ 7.04}{4} \newline(D) 47=x$7.04 \frac{4}{7}=\frac{x}{\$ 7.04} \newline(E) None of the above

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Q. 44 markers cost $7.04 \$ 7.04 .\newlineWhich equation would help determine the cost of 77 markers?\newlineChoose 11 answer:\newline(A) 47=$7.04x \frac{4}{7}=\frac{\$ 7.04}{x} \newline(B) x7=4$7.04 \frac{x}{7}=\frac{4}{\$ 7.04} \newline(C) 7x=$7.044 \frac{7}{x}=\frac{\$ 7.04}{4} \newline(D) 47=x$7.04 \frac{4}{7}=\frac{x}{\$ 7.04} \newline(E) None of the above
  1. Given Cost Comparison: We are given the cost of 44 markers and we want to find the cost of 77 markers. This is a proportional relationship problem where the number of markers is directly proportional to the cost. We can set up a ratio comparing the cost of 44 markers to the cost of 77 markers.
  2. Setting Up Proportion: Let xx represent the cost of 77 markers. We can set up the proportion as follows: the cost of 44 markers over 44 is equal to the cost of 77 markers over 77. This can be written as (4 markers/$7.04)=(7 markers/x)(4 \text{ markers} / \$7.04) = (7 \text{ markers} / x).
  3. Cross-Multiplying: Simplify the proportion by cross-multiplying to solve for xx. This gives us 4x=7×7.044x = 7 \times 7.04.
  4. Solving for x: Now we solve for x by dividing both sides of the equation by 44. This gives us x=(7×7.04)/4x = (7 \times 7.04) / 4.
  5. Final Calculation: Perform the calculation: x=(7×$(7.04))/4=$(49.28)/4=$(12.32)x = (7 \times \$(7.04)) / 4 = \$(49.28) / 4 = \$(12.32). This is the cost of 77 markers.
  6. Correct Equation: The correct equation that represents this situation is 4 markers$7.04=7 markersx\frac{4 \text{ markers}}{\$7.04} = \frac{7 \text{ markers}}{x}, which corresponds to option (A) 47=$7.04x\frac{4}{7} = \frac{\$7.04}{x}.

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