Question

Lamar and Susan each ran every day as part of an exercise routine. Lamar ran 3 miles each day for x days. Susan ran 4 miles each day for y days.The total number of miles that Lamar ran is at least the total number of miles that Susan ran. Write an inequality describing this relationship.

Answer 1

`3x\ge4y`

Step-by-step explanation

We want to write an inequality that describes the relationship between the number of miles that Lamar and Susan ran.

Lamar ran 3 miles each day for x days. The total number of miles that Lamar ran is:

`\begin{gathered} 3*x \\ \\ 3x\text{ miles} \end{gathered}`

Susan ran 4 miles each day for y days. The total number of miles that Susan ran is:

`\begin{gathered} 4*y \\ \\ 4y\text{ miles} \end{gathered}`

The total number of miles that Lamar ran is at least the total number of miles that Susan ran. This implies that the number of miles that Lamar ran must be greater than or equal to the number of miles that Susan ran.

In other words:

`3x\ge4y`

That is the inequality that represents the relationship.