Question

Jule set a goal to run 100 miles. She has already run 19 miles towards her goal, and plans to run

Which TWO statements are TRUE for this scenario?
2 miles each times she runs to complete her goal.

Answer 1

Jule plans to reach a 100-mile running goal and has already run 19 miles. She runs 2 miles each time.

Step-by-step explanation:

The question involving Jule who has set a goal to run 100 miles and has already completed 19 miles, planning to run 2 miles each time she runs, is a Mathematics problem involving arithmetic and goal setting. This is typically a concept covered in Middle School math classes when students are learning about basic algebra and arithmetic progressions.

To determine how many more times Jule needs to run in order to reach her 100-mile goal, we can set up the following equation: Number of runs × miles per run + miles already run = Total goal miles. We are told that Jule runs 2 miles each time, and she has run 19 miles already. The equation would then look like: Number of runs × 2 miles + 19 miles = 100 miles. Solving for the number of runs, we get: Number of runs = (100 miles - 19 miles) / 2 miles = 81 / 2 = 40.5.

Since Jule cannot run half of a distance, she will need to run 41 times to meet or exceed her goal. Therefore, the two true statements are:

1. Jule needs to run 41 more times to reach her 100-mile goal.
2. By running 2 miles each time, Jule will exceed her goal by 1 mile after 41 runs.