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.