Question

Let y represent the number of yards. Which algebraic expression represents the number of feet in y?

A $y-3$

B $y+3$

C $3y$

D$\frac{3}{y}$

Short answer

The algebraic expression that represents the number of feet in$y$ is $3y$.

Step-by-step solution

Step 1. Given information.

The number of yards is represented by $y$.

To find the algebraic expression represents the number of feet in $y$.

Step 2. Apply the formula.

We know that $1\text{\hspace{0.33em}yard}=3\text{\hspace{0.33em}feet}$

As$5\mathrm{yrad}=3\times 5\mathrm{feet}$

$\Rightarrow 5\mathrm{yrad}=15\mathrm{feet}$

Step 3. Calculation.

$\therefore 1\text{\hspace{0.33em}yard}=3\text{\hspace{0.33em}feet}$

$\Rightarrow y\text{\hspace{0.33em}yard}=3\times y\text{\hspace{0.33em}feet}$

localid="1645188913462" $\Rightarrow y\text{\hspace{0.33em}yard}=3y\text{\hspace{0.33em}feet}$

Hence, the correct option is (C).