3 folders cost $2.91. Which equation would help determine the cost of 2 folders? Choose 1 answer: (A) (2)/($2.91)=(x)/(3) (B) (2)/(x)=(3)/($2.91) (C) (x)/(2)=(3)/($2.91) (D) (2)/(x)=($2.91)/(3) (E) None of the above

Understand the problem: Understand the problem. We need to find an equation that represents the cost of 2 folders, given that 3 folders cost $2.91. We can use a proportion to solve this problem, where the cost of folders is directly proportional to the number of folders.Set up the proportion: Set up the proportion. We know that 3 folders cost $2.91, so we can set up a proportion where the cost of 2 folders (which we'll call x) is to 2 as $2.91 is to 3. This can be written as: (2 folders) / (x dollars) = (3 folders) / ($2.91)Rearrange the proportion: Rearrange the proportion to solve for x. We want to find the cost of 2 folders, so we need to solve for x. The correct proportion should have x in the numerator on one side of the equation. We can rearrange the proportion from Step 2 to get: (x dollars) / (2 folders) = ($2.91) / (3 folders)Identify the correct answer choice: Identify the correct answer choice. Looking at the answer choices, we see that option (C) matches the proportion we have derived: (C) (x)/(2)=(3)/($2.91) This is the correct equation to determine the cost of 2 folders.

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3 folders cost $2.91.
Which equation would help determine the cost of 2 folders?
Choose 1 answer:
(A) (2)/($2.91)=(x)/(3)
(B) (2)/(x)=(3)/($2.91)
(C) (x)/(2)=(3)/($2.91)
(D) (2)/(x)=($2.91)/(3)
(E) None of the above

$3$ folders cost $\$ 2.91$ . $\newline$ Which equation would help determine the cost of $2$ folders? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{2}{\$ 2.91}=\frac{x}{3}$ $\newline$ (B) $\frac{2}{x}=\frac{3}{\$ 2.91}$ $\newline$ (C) $\frac{x}{2}=\frac{3}{\$ 2.91}$ $\newline$ (D) $\frac{2}{x}=\frac{\$ 2.91}{3}$ $\newline$ (E) None of the above

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

3

folders cost

\$ 2.91

\newline

Which equation would help determine the cost of

2

folders?

\newline

Choose

1

answer:

\newline

(A)

\frac{2}{\$ 2.91}=\frac{x}{3}

\newline

(B)

\frac{2}{x}=\frac{3}{\$ 2.91}

\newline

(C)

\frac{x}{2}=\frac{3}{\$ 2.91}

\newline

(D)

\frac{2}{x}=\frac{\$ 2.91}{3}

\newline

(E) None of the above

Understand the problem: Understand the problem. $\newline$ We need to find an equation that represents the cost of $2$ folders, given that $3$ folders cost $\$2.91$ . We can use a proportion to solve this problem, where the cost of folders is directly proportional to the number of folders.
Set up the proportion: Set up the proportion. $\newline$ We know that $3$ folders cost $\$2.91$ , so we can set up a proportion where the cost of $2$ folders (which we'll call $x$ ) is to $2$ as $\$2.91$ is to $3$ . This can be written as: $\newline$ $(2 \text{ folders}) / (x \text{ dollars}) = (3 \text{ folders}) / (\$2.91)$
Rearrange the proportion: Rearrange the proportion to solve for $x$ . We want to find the cost of $2$ folders, so we need to solve for $x$ . The correct proportion should have $x$ in the numerator on one side of the equation. We can rearrange the proportion from Step $2$ to get: $\frac{x \text{ dollars}}{2 \text{ folders}} = \frac{(\$2.91)}{3 \text{ folders}}$
Identify the correct answer choice: Identify the correct answer choice. $\newline$ Looking at the answer choices, we see that option (C) matches the proportion we have derived: $\newline$ (C) $\frac{x}{2}=\frac{3}{(\$2.91)}$ $\newline$ This is the correct equation to determine the cost of $2$ folders.