Question

"Use the information to answer the question.

Curtis has started to bike every day. His goal is to ride 16. 5 kilometers each day. He bikes į of that distance on Monday. He bikes 3, 5 fewer kilometers on Tuesday than he did on Monday."

Answer 1

Curtis bikes 4.125 kilometers on Monday and 0.625 kilometers on Tuesday which is less than Monday and a positive distance, confirming the reasonableness of the solution.

Step-by-step explanation:

To solve this problem, we need to calculate the distance Curtis bikes on Monday and then determine how far he bikes on Tuesday.

1. First, we identify that the total daily goal is 16.5 kilometers.
2. On Monday, Curtis bikes ¼ of the total distance, so we calculate ¼ of 16.5 km.
3. For Tuesday, he bikes 3.5 kilometers fewer than Monday.
4. Check the reasonableness of the answer by comparing distances and using common sense. For instance, if Curtis biked a certain distance on Monday, biking 3.5 km less on Tuesday means the distance should still be positive and less than Monday's distance.

Let's calculate:

1. Monday's distance: ¼ × 16.5 km = 4.125 km.
2. Tuesday's distance: Monday's distance - 3.5 km = 4.125 km - 3.5 km.

So, Curtis bikes 0.625 kilometers on Tuesday, which is reasonable as it is less than Monday's distance but still a positive number.