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Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 20 meters below the edge of a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He managed to climb up 4 meters each second and get out of the volcano safely. Graph the relationship between Zane's elevation relative to the edge of the volcano (in meters) and time (in seconds).

Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 2020 meters below the edge of a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He managed to climb up 44 meters each second and get out of the volcano safely.\newlineGraph the relationship between Zane's elevation relative to the edge of the volcano (in meters) and time (in seconds).

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Q. Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 2020 meters below the edge of a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He managed to climb up 44 meters each second and get out of the volcano safely.\newlineGraph the relationship between Zane's elevation relative to the edge of the volcano (in meters) and time (in seconds).
  1. Start and Rate: Zane starts 2020 meters below the edge, which is −20-20 meters. He climbs at a rate of 44 meters per second.
  2. Elevation Equation: To find Zane's elevation at any time t t seconds, use the equation E(t)=−20+4t E(t) = -20 + 4t , where E(t) E(t) is the elevation in meters and t t is the time in seconds.
  3. At t=00 seconds: At t=0 t = 0 seconds, plug in t=0 t = 0 into the equation: E(0)=−20+4(0)=−20 E(0) = -20 + 4(0) = -20 meters.
  4. At t=55 seconds: At t=5 t = 5 seconds, plug in t=5 t = 5 : E(5)=−20+4(5)=−20+20=0 E(5) = -20 + 4(5) = -20 + 20 = 0 meters.
  5. At t=1010 seconds: At t=10 t = 10 seconds, plug in t=10 t = 10 : E(10)=−20+4(10)=−20+40=20 E(10) = -20 + 4(10) = -20 + 40 = 20 meters.

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