Question

There are 48 inches in 4 feet, represented by the equation 4y=48x. Determine the number of inches per foot.

Answer 1

To determine the number of inches per foot, we start with the information given in the problem. We know that 4 feet is equal to 48 inches.

The equation given is:
\[ 4y = 48x \]

To interpret this equation, we need to identify what \(y\) and \(x\) represent. From the problem, we can assume:
- \(y\) is the number of inches in one foot.
- \(x\) is the number of feet.

Rearranging the equation, we can write it as:
\[ y = \frac{48x}{4} \]

We simplify that to:
\[ y = 12x \]

This suggests that for every foot (when \(x = 1\)):
\[
y = 12 \cdot 1 = 12
\]

Therefore, there are **12 inches in one foot**.