Question

meters and feet are two different units for measuring distance. one meter is approximately 3.28 ft, and 1 foot is approximately 0.305 m. write an equation that shows the approximate distance in feet as a function of the distance in meters. explain your work.

Explanation:

Step1: Define Variables

Let \( m \) be the distance in meters and \( f(m) \) be the distance in feet. We know that 1 meter is approximately 3.28 feet (since 1 meter ≈ 3.28 feet, derived from the conversion factor: 1 meter = 3.28084 feet, approximated to 3.28 for simplicity). But from the problem, we are given that 1 meter is approximately 3.28 feet (wait, actually the problem says 1 meter is approximately 3.28 feet? Wait, the problem statement: "1 meter is approximately 3.28 ft". So we need to write a function \( f(m) \) where \( m \) is meters and \( f(m) \) is feet.

Step2: Determine the Relationship

Since each meter is 3.28 feet, the distance in feet is the number of meters multiplied by 3.28. So the function is \( f(m)=3.28m \).

Answer:

The function that shows the approximate distance in feet as a function of the distance in meters is \( f(m) = 3.28m \), where \( m \) is the distance in meters and \( f(m) \) is the distance in feet.