question archive You are doing a walkathon/runathon to raise money for your school
You are doing a walkathon/runathon to raise money for your school
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You are doing a walkathon/runathon to raise money for your school. You can walk at a rate of 4 miles per hour and run at a rate of 6 miles per hour. You need to cover more than 8 miles in order to raise your part of the money. Which of the following linear inequalities can be used to determine how long you must walk (w) and run (r) in order to cover more than 8 miles?
4w+6r>8
4w+6r≤8
4w+6r=8
4w+6r≥8
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Answer:
?4w+6r>8?
Step-by-step explanation
Let ?w? be the time in hours for walking and ?r? for running.
The walk rate is ?4? miles per hour and the run rate is ?6? miles per hour.
So, the distance covered by walking and running is ?4w? and ?6r? respectively.
The total distance covered in the walkathon/runathon is ?4w+6r? .
Since you need to cover more than ?8? miles.
Therefore, the equation that represents the total distance covered more than ?8? miles is ?4w+6r>8? .
