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Question
understand systems of linear equations — instruction — level h rumi and noam are learning to rock climb. rumi starts at the bottom and climbs 10 feet each minute noam starts 10 feet up and climbs 8 feet each minute. x: number of minutes y: height above ground find rumi and noams height after 5 minutes. rumi: ? feet noam: ? feet
Step1: Calculate Rumi's height
Rumi's height equation is \( y = 10x \). For \( x = 5 \) minutes, substitute \( x \) into the equation: \( y = 10\times5 = 50 \) feet.
Step2: Calculate Noam's height
Noam's height equation is \( y = 8x + 10 \). For \( x = 5 \) minutes, substitute \( x \) into the equation: \( y = 8\times5 + 10 = 40 + 10 = 50 \) feet.
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Rumi: 50 feet, Noam: 50 feet