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Tyler has run 15 miles this month. For the rest of the month, he plans to run the same number of miles each day. There are 12 days left in the month. Before the end of the month, Tyler needs to run at least 35 miles to meet his goal.

Which of these inequalities describes this situation, where m
is the number of miles Tyler runs each day to meet his goal?



Answer :

quikninja123

Answer:

[tex]x\geq \frac{5}{3}[/tex]

Step-by-step explanation:

Hey there

To solve this problem, we need to first form our inequality using the given information.

Things we know:

  • 12 days left
  • Already ran 15 miles
  • Needs to run at least 35 miles

From this, we know that he needs to run at least 20 miles in 12 days.

This is going to be our original equation:

[tex]35\leq 12x+15[/tex]

Let x be the number of miles he has to run a day to meet his goal.

12 means there is 12 days left

15 is the fact that he already ran 15 miles

35 is the goal he is trying to reach. (I put less than or equal to because the 12 days plus the 15 miles he has already ran has to be greater than or equal to 35)

Now we simplify:

  1. Subtract 15 from both sides: [tex]20\leq 12x[/tex]
  2. Divide both sides by 12: [tex]\frac{20}{12} \leq \frac{12x}{12}[/tex]
  3. Simplify: [tex]\frac{5}{3} \leq x[/tex]

This means that Tyler has to run at least 5/3 miles every day to reach his goal by the end of the month

If you have any questions, feel free to ask in the comments :-)

regalmocha17

The inequality that can be used to describe Tyler's scenario is:

15 + 12m ≥ 35

Where m represents the amount of miles that Tyler runs each day to meet his goal.  

15 + 12m ≥ 35

35 - 15= 20

12m ≥ 20

m ≥ 20/12

m ≥ 1.6667

Tyler needs to run at least 1.667 miles per day in order to reach his goal.

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