Q3. - Algebra 1

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 $\frac{3}{y}$

Step-by-Step Solution

Answer

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

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.

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

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

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

Hence, the correct option is (C).