The inequality that represents the steps taken after the first day is 2000 + 500x ≥ 10000
<h3>Part A: The inequality that represents the number of steps?</h3>
The given parameters are:
- Initial number of steps = 2000
- Rate each day = 500
- Total number of steps = At least 10000
In inequality, at least means greater than or equal to i.e. ≥.
So, the inequality that represents the number of step each day (x) after the first day is:
2000 + 500 * x ≥ 10000
This gives
2000 + 500x ≥ 10000
<h3>Part B: How to exceed the goal</h3>
To exceed the goal faster, Angel can do any of the following activities:
- Increase the initial number of steps from 2000 to (say) 2500. This is represented by 2500 + 500x ≥ 10000
- Increase the rate from 500 to (say) 600. This is represented by 2000 + 600x ≥ 10000
Read more about linear inequalities at:
brainly.com/question/18881247
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