Question

Jessamine wants to ride her bike at least 85 miles per week. She rides to and from school 5 days per week. Her house is 6.25 miles from her school. She rides an additional 2.5 miles for each trip, t, she makes around the park. Which inequality represents the situation? mc018-1.jpg mc018-2.jpg mc018-3.jpg mc018-4.jpg

Answer 1

The inequality that represents the situation is 2(6.25 + 2.5t) ≥ 85.

Step-by-step explanation:

To represent the situation, we need to determine the total distance that Jessamine rides in a week. She rides to and from school 5 days a week, which is a total of 2 trips per day. Each trip is 6.25 miles from her house to school and an additional 2.5 miles around the park. The inequality that represents the situation is:

2(6.25 + 2.5t) ≥ 85

Let's break it down step-by-step:

1. Each trip is 6.25 miles from her house to school, so we multiply it by 2 to represent 2 trips per day: 2(6.25)
2. She rides an additional 2.5 miles for each trip around the park, so we multiply it by t to represent the number of trips made around the park: 2(6.25 + 2.5t)
3. The total distance covered in a week should be at least 85 miles, so we set the inequality: 2(6.25 + 2.5t) ≥ 85