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3 markers cost $5.79.
Which equation would help determine the cost of 13 markers?
Choose 1 answer:
(A) (13)/($5.79)=(x)/(3)
(B) (x)/( 13)=(3)/($5.79)
(C) (3)/($5.79)=(13 )/(x)
(D) (13 )/(x)=($5.79)/(3)
(E) None of the above

33 markers cost $5.79\$5.79. \newlineWhich equation would help determine the cost of 1313 markers?\newline Choose 11 answer: \newline(A) 13$5.79=x3\frac{13}{\$5.79} = \frac{x}{3} \newline(B) x13=3$5.79\frac{x}{13} = \frac{3}{\$5.79} \newline(C) 3$5.79=13x\frac{3}{\$5.79} = \frac{13}{x} \newline(D) 13x=$5.793\frac{13}{x} = \frac{\$5.79}{3} \newline(E) None of the above

Full solution

Q. 33 markers cost $5.79\$5.79. \newlineWhich equation would help determine the cost of 1313 markers?\newline Choose 11 answer: \newline(A) 13$5.79=x3\frac{13}{\$5.79} = \frac{x}{3} \newline(B) x13=3$5.79\frac{x}{13} = \frac{3}{\$5.79} \newline(C) 3$5.79=13x\frac{3}{\$5.79} = \frac{13}{x} \newline(D) 13x=$5.793\frac{13}{x} = \frac{\$5.79}{3} \newline(E) None of the above
  1. Set Up Proportion: We know 33 markers cost $5.79\$5.79. We want to find the cost of 1313 markers. So, we set up a proportion where the number of markers is directly proportional to the cost.
  2. Write Correct Equation: The correct equation should have the cost of 33 markers on one side and the cost of 1313 markers on the other side. We can write this as (cost of 13 markers)/13=($5.79)/3(\text{cost of } 13 \text{ markers}) / 13 = (\$5.79) / 3.
  3. Rearrange to Solve: Rearrange the equation to solve for the cost of 1313 markers, which we'll call xx. So, x13=$(5.79)3\frac{x}{13} = \frac{\$(5.79)}{3}.
  4. Multiply Both Sides: To find xx, we multiply both sides by 1313. So, x=($5.79/3)×13x = (\$5.79 / 3) \times 13.
  5. Match with Answer Choices: Looking at the answer choices, we see that option (B) matches our equation: x13=3$5.79\frac{x}{13} = \frac{3}{\$5.79}.

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