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understand systems of linear equations — instruction — level h rumi and…

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

Explanation:

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.

Answer:

Rumi: 50 feet, Noam: 50 feet