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?
5 (2) (6.25) + 2.5 t less-than-or-equal-to 85
5 (2) (6.25) + 2.5 t less-than 85
5 (2) (6.25) + 2.5 t greater-than-or-equal-to 85
5 (2) (6.25) + 2.5 t greater-than 85

Answer 1

She wants at least 85 miles, so total ≥ 85. She rides 5·2·6.25 miles for school plus 2.5t for park trips.

Inequality: 5(2)(6.25) + 2.5t ≥ 85.

(That simplifies to 62.5 + 2.5t ≥ 85, so t ≥ 9.)