Podcast
Questions and Answers
What is the total distance the student rode on Monday?
What is the total distance the student rode on Monday?
If the student rode $m$ miles each day from Tuesday to Friday, what is the total distance formula for the 5 days?
If the student rode $m$ miles each day from Tuesday to Friday, what is the total distance formula for the 5 days?
Which inequality correctly represents the total distance the student rode being fewer than 30 miles?
Which inequality correctly represents the total distance the student rode being fewer than 30 miles?
What is the maximum possible value of $m$ when the total distance is fewer than 30 miles?
What is the maximum possible value of $m$ when the total distance is fewer than 30 miles?
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If the maximum value for $m$ is $4$, how many miles did the student ride in total?
If the maximum value for $m$ is $4$, how many miles did the student ride in total?
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Study Notes
Problem Setup
- The student rode a total of fewer than 30 miles in 5 days.
- On Monday, the student rode 8 miles.
- From Tuesday to Friday, the student rode m miles each day.
Inequality Representation
- The total distance ridden from Tuesday to Friday is 4m.
- The total distance ridden over all 5 days is 8 + 4m.
- Since the total distance is less than 30 miles, the inequality representing the possible values of m is: 8 + 4m < 30.
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Description
This quiz focuses on solving inequalities in the context of a problem about distances. Students will learn to set up and solve inequalities based on given conditions, specifically related to a scenario involving daily distances ridden over several days. Test your understanding of inequalities and distance problems.