a. USE A MODEL Ahmed wants the entire trip to take less than 45 minutes. Let d represent the distance that Ahmed walks. Write an inequality that represents this situation. Explain your reasoning. b. REASON QUANTITATIVELY Solve the inequality and show your work. Explain what the answer means in terms of the situation. c. USE STRUCTURE Suppose Ahmed gets a flat tire halfway along his bike ride, and he must walk half the distance he would have bicycled. If the entire trip can still be completed in less than 45 minutes, write and solve a new inequality to find the change in the length of the path.
Interpreting Viable Solutions
Ahmed will bicycle to his friend’s house, leave the bike, and then walk home. The walk
will be along a path that is half the distance he bicycles. He will average 15 miles per
hour on the bicycle, and 3 miles per hour walking.
a. USE A MODEL Ahmed wants the entire trip to take less than 45 minutes. Let d
represent the distance that Ahmed walks. Write an inequality that represents this
situation. Explain your reasoning.
b. REASON QUANTITATIVELY Solve the inequality and show your work. Explain what the
answer means in terms of the situation.
c. USE STRUCTURE Suppose Ahmed gets a flat tire halfway along his bike ride, and
he must walk half the distance he would have bicycled. If the entire trip can still be
completed in less than 45 minutes, write and solve a new inequality to find the change
in the length of the path.
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