Question

Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the park, and 2.4 miles back from the park. To represent that inequality, he wrote: 2.4 + 4p + 2.4 ___ 26.1

Answer 1

Jason's goal is to run more than 26.1 miles. The correct inequality reflecting his plan is 2.4 + 4p + 2.4 > 26.1, where p represents the distance of one lap around the park.

Step-by-step explanation:

The student is attempting to set up an inequality to represent Jason's running goal for the week. Jason wants to run more than 26.1 miles, which he ran last week. The expression given is 2.4 + 4p + 2.4, which represents the total distance he plans to run: 2.4 miles to the park, 4 times the distance 'p' around the park, and 2.4 miles back from the park. The correct inequality to represent Jason's goal is 2.4 + 4p + 2.4 > 26.1.

Step-by-step, this is how Jason should think about the problem:

1. Write down the distance he wants to exceed, which is 26.1 miles.
2. Add the distances to and from the park: 2.4 miles to the park plus 2.4 miles back equal 4.8 miles.
3. Represent the unknown distance he runs around the park 4 times as 4p.
4. Combine these to form the inequality 2.4 + 4p + 2.4 > 26.1, where 'p' is the distance of one lap around the park.

The solution to this inequality will give Jason the minimum distance he needs to run around the park (one lap 'p') to surpass his previous week's mileage.

Answer 2

Question says that "Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the park, and 2.4 miles back from the park. To represent that inequality, he wrote: 2.4 + 4p + 2.4 ___ 26.1"

We see a blank space before 26.1.

So we need to fill the suitable inequality symbol from <, >, ≤ and ≥.

In given expression "2.4 + 4p + 2.4 ___ 26.1", left side part "2.4 + 4p + 2.4", represents the total length of the path that Jason wants to cover this week.

He has decided to run more than 26.1 miles so that means the sum "2.4 + 4p + 2.4" must be greater than 26.1 miles.

Hence we will use > symbol so that left side becomes greater than the right side part.

So the final answer will be :

2.4 + 4p + 2.4 > 26.1