Question

understand systems of linear equations - instruction - level h
b) 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.
c) when are sarita and willow at the same height at the same time?
d) after \\(\square\\) minutes, sarita and willow are at the same height.
(graph: willow, \\(y = 15x\\); sarita, \\(y = 11x + 12\\); x-axis: number of minutes; y-axis: height above ground)

Explanation:

Step1: Set up equations

Willow's height: \( y = 15x \) (starts at bottom, climbs 15 ft/min)
Santa's height: \( y = 11x + 12 \) (starts at 12 ft, climbs 11 ft/min)

Step2: Find intersection

Set \( 15x = 11x + 12 \)
Subtract \( 11x \): \( 4x = 12 \)
Divide by 4: \( x = 3 \)

Answer:

3