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2 June, 06:12

zane is dangerous fellow who likes to go climbing in active volcanoes. One time while inside a volcano, heheard some rumbling, so he decided to climb up out of there as quickly as he could. he climbed up at a rate of 4 meters per second. after 3 seconds, he was 13 meters below the edge of the volcano. how far was zane below the edge of the volcano when he started climbing? the n toltal how long did it take zane to reach the edge of the volcano

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  1. 2 June, 06:36
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    25 meters below the edge; 6.25 seconds

    Step-by-step explanation:

    We can represent this with a linear function in slope-intercept form.

    We know the rate of change is 4, since he climbs up at 4 meters per second. We do not know the value of b, the y-intercept.

    This gives us

    y = 4x + b

    We know that he is 13 meters below the edge after 3 seconds. Using - 13 for y and 3 for x,

    -13 = 4 (3) + b

    -13 = 12 + b

    Subtract 12 from each side:

    -13-12 = 12+b-12

    -25 = b

    This gives us the equation

    y = 4x - 25

    He started out 25 meters below the edge of the volcano.

    To find how long it took him to reach the edge, substitute 0 in for y:

    0 = 4x - 25

    Add 25 to each side:

    0+25 = 4x-25+25

    25 = 4x

    Divide both sides by 4:

    25/4 = 4x/4

    6.25 = x

    It takes him 6.25 seconds to reach the edge.
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