Question

karen and eric each ran every day as part of an exercise routine. the table below shows the distance (in miles) each of them ran each day.

	distance each day (in miles)
eric	6

let x be the number of days karen ran.
let y be the number of days eric ran.
the total distance that karen ran is greater than the total distance that eric ran. using the values and variables given, write an inequality describing this.

Explanation:

Step1: Calculate Karen's total distance

Karen runs 4 miles each day for \( x \) days, so her total distance is \( 4x \) miles.

Step2: Calculate Eric's total distance

Eric runs 6 miles each day for \( y \) days, so his total distance is \( 6y \) miles.

Step3: Set up the inequality

Since Karen's total distance is greater than Eric's, we write \( 4x > 6y \).

Answer:

\( 4x > 6y \)