Grades 9-10 Video Solutions 2024-2024_9-10

Video Transcription

right foot, both feet, left foot, both feet, and so on. As shown, Maya played the game and hopped into exactly 48 squares starting with her left foot.  How many times did her left foot touch the ground?  We can see in this picture that on steps one, two, and four Maya's left foot will touch the ground and every four steps, the cycle repeats. Therefore, in three quarters of the steps  or in the squares she jumps into, her left foot will touch the ground and thus the answer is three fourths times 48, which is 36.

Video Summary

Maya played a hopping game where she touched the ground with her left foot on every first, second, and fourth step in a repeating four-step cycle. This means her left foot touched down in three out of every four steps. Since she hopped into 48 squares, the left foot touched the ground 36 times, calculated as \( \frac{3}{4} \times 48 = 36 \).