Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the park, and 2.4 miles back from the park. To represent that inequality, he wrote: 2.4 + 4p + 2.4 ___ 26.1 Which inequality symbol should he use? Why?
Answers
Answer:
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Step-by-step explanation:
Sample Response/Explanation: He should use the greater than symbol, >. He would not beat his distance if he only ran 26.1 miles, so the greater than or equal to symbol would not be correct
- 2.4 + 4p + 2.4 > 26.1
- The inequality symbol > should be used as Jason wants to run further this week
Given :
- Last week, Jason ran 26.1 miles.
- He wants to run further this week.
- He plans to run 2.4 miles to the park, four times around the park, and 2.4 miles back from the park.
- To represent that inequality, he wrote: 2.4 + 4p + 2.4 ___ 26.1
To find :
- The inequality symbol should Jason use
- The reason
Solution :
Step 1 of 2 :
Write down the given data
Last week, Jason ran 26.1 miles.
He wants to run further this week.
Step 2 of 2 :
Find inequality symbol should Jason use and reason
The distance travelled by Jason in one round the park = p miles
∴ Distance travelled by Jason in four times around the park
= 4 × p miles
= 4p miles
Jason plans to run 2.4 miles to the park, four times around the park, and 2.4 miles back from the park.
∴ Total distance travelled by Jason
= (2.4 + 4p + 2.4) miles
Last week, Jason ran 26.1 miles.
He wants to run further this week
∴ Jason should use the inequality symbol > as he wants to run further this week
The inequation will be
2.4 + 4p + 2.4 > 26.1
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