3
algebra

A fitness tracker monitors steps, with a daily goal of at least 10,000 steps. If someone has walked 6,250 steps by noon, which inequality represents the minimum additional steps ss needed to meet the goal?

A

s3,750s \geq 3,750

B

s3,750s \leq 3,750

C

s16,250s \geq 16,250

D

6,250+s10,0006,250 + s \leq 10,000

Correct Answer: A

Choice A is the correct answer. Goal-achievement problems model the gap between current state and target.

  1. Target: Need at least 10,000 steps total
  2. Current: Already have 6,250 steps
  3. Set up: 6,250+s10,0006,250 + s \geq 10,000
  4. Solve: s10,0006,250=3,750s \geq 10,000 - 6,250 = 3,750

?�� Strategic Tip: "At least" for the total goal translates to \geq for the amount still needed.

Choice B is incorrect because3,750\leq 3,750 would represent a maximum, not the minimum needed. Choice C is incorrect because it adds 6,250 and 10,000 instead of subtracting. Choice D is incorrect because it uses \leq which represents not exceeding the goal, rather than meeting it.