Question

Kylie is training for an upcoming marathon and has committed to running more than 21 miles today. If she runs from her house, she can run along two loops: a short path that is 3 miles in length, and a long path that is 6 miles in length. Select the inequality in standard form that describes this situation. (x = the number of loops on the short path, y = the number of loops on the long path).

Which inequality in standard form describes Kylie's situation?
a) 6x + 3y > 21
b) 3x + 6y > 21
c) 6x + 3y < 21
d) 3x + 6y < 21

Answer 1

The correct inequality in standard form that describes the situation of Kylie needing to run more than 21 miles on a combination of short and long paths is 3x + 6y > 21, where x is the number of short path loops, and y is the number of long path loops.

Step-by-step explanation:

The question involves setting up an inequality to describe the number of loops Kylie must run on the short and long paths to exceed a certain distance, as part of her marathon training. The short path is 3 miles (abbreviated as x), and the long path is 6 miles (represented by y). Kylie aims to run more than 21 miles in total.

Let's write an inequality to model this situation. If Kylie runs x loops of the short path and y loops of the long path, then the total distance run is given by:

3x miles (from the short path) + 6y miles (from the long path) > 21 miles in total.

Thus, the correct inequality in standard form that describes Kylie's situation is:

3x + 6y > 21

This option correctly represents that the combination of the distances run on both paths must be greater than 21 miles.