Question

How far was Zane from the edge of the volcano when he started climbing?

Answer 1

Answer:

Hope this helps

accoding to the web "He started out 25 meters below the edge of the volcano. It takes him 6.25 seconds to reach the edge."

Answer 2

Answer:

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.