Question
4. joe ran 3 miles yesterday and wants to run at least 12 miles this week. Write an inequality that can be used to determine the additional number of days Joe must run this week if each run is 3 miles. Then solve the inequality.
Ask by Dickson Guzman. in the United States
Feb 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Joe needs to run at least 3 more days to reach his goal of 12 miles.
Solution
Let d be the number of additional days Joe runs. Since he already ran 3 miles, running 3 miles each additional day gives a total of 3 + 3d miles. He wants to run at least 12 miles, so the inequality is:
3 + 3d ≥ 12
Subtract 3 from both sides:
3d ≥ 9
Divide both sides by 3:
d ≥ 3
Thus, Joe must run at least 3 more days.
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Simplify this solution Bonus Knowledge
To set up the inequality, let \( x \) be the number of additional days Joe must run. Since Joe already ran 3 miles, he needs to run at least another \( 12 - 3 = 9 \) miles. If each run is 3 miles, the inequality becomes \( 3x \geq 9 \). Solving this inequality, divide both sides by 3: \[ x \geq 3 \] This means Joe needs to run at least 3 additional days this week to reach his goal. Now, let's lace up those running shoes! 🏃♂️
