Question

There are 48 inches in 4 feet, which is represented by the equation 4y=48x
. Determine the number of inches per foot.(1 point)
inches

Answer 1

To determine the number of inches per foot, we need to simplify the equation \(4y = 48x\) where \(y\) represents feet and \(x\) represents inches.

Starting with the equation:

\[
4y = 48x
\]

We can solve for \(y\) when \(x = 1\) (which signifies 1 inch):

\[
y = \frac{48x}{4}
\]

Simplifying this:

\[
y = 12x
\]

Now, if \(x = 1\) (which represents 1 inch), substituting this into the equation yields:

\[
y = 12(1) = 12
\]

This means that there are **12 inches in 1 foot**.

Thus, the number of inches per foot is \( \boxed{12} \).