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

Let's translate the verbal language to algebraic language.

She rides to and from school 5 days per week, 6.25 miles each route => 5*2*6.25 miles = 62.5 miles.

She rides additioanly around the park 2.5 miles for each trip t => 2.5*t = 2.5t

Total miles of her rides per week: 62.5 miles + 2.5t

She wants to ride minimum 85 miles => 62.5 + 2.5t ≥ 85

Then, the situation is represented by this inequality:

2.5t + 62.5 ≥ 85

You can develop it and get to several equivalent inequalities, for example:

2.5t ≥ 85 - 62.5

2.5t ≥ 22.5

t ≥ 9

Any of the four forms are equivalent and a valid answer.