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understand systems of linear equations — instruction — level h
sarita and willow are also learning to rock climb. sarita starts 12 feet up and climbs 11 feet each minute. willow starts at the bottom and climbs 15 feet each minute.
x: number of minutes
y: height above ground
complete the statements to show what each equation represents.
the equation ( y = 11x + 12 ) represents? after ( x ) minutes.
the equation ( y = 15x ) represents?
options: sarita’s height, willow’s height
For the equation \( y = 11x + 12 \), Sarita starts at 12 feet (the y - intercept) and climbs 11 feet per minute (the slope), so this represents Sarita's height. For the equation \( y=15x \), Willow starts at 0 feet (since there's no constant term) and climbs 15 feet per minute, so this represents Willow's height.
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The equation \( y = 11x + 12 \) represents Sarita's height after \( x \) minutes.
The equation \( y = 15x \) represents Willow's height after \( x \) minutes.