Question

You might need: Calculator Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time while inside a volcano, he heard 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? meters In total, how long did it take Zane to reach the edge of the volcano? seconds Show Calculation

Answer 1

Zane was 25 meters below the edge

It took Zane 6.25 seconds to reach the edge of the volcano

Step-by-step explanation:

rate = 4 meters per second

After 3 secs, distance = 13 meters

distance 13 meters is said to be below the edge

using the edge as point 0

13 meters below the edge = 0 - 13 = -13

Using a linear equation:

y = mx + c

where m = rate = 4m/sec

x = time = 3 secs

y = distance = -13

Inserting the values nto the equation to get c:

-13 = 4(3) + c

-13 = 12 + c

c = -25

Zane was 25 meters below the edge

The equation becomes: y = 4x - 25

we asked to find the time it takes to get the edge.

Since the position of the edge = 0

we would replace y with 0 in the equation we got above:

0 = 4x - 25

25 = 4x

divide both sides by 4:

25/4 = x

x = 6.25

It took Zane 6.25 seconds to reach the edge of the volcano