Step-by-step explanation:
Joe's climbing rate is not constant
3 × 2 = 6
8 × 1.5 = 12
12 × 1.1666666667 = 14
Time when climber reaches 30ft is unknown because climbing rate is not constant
Zas's climbing rate is 2.5
2 × 2.5 = 5
4 × 2.5 = 10
12 × 2.5 = 30
At 12 seconds, Zas reaches 30 feet.
Stephen's climbing rate is 4
2 × 4 = 8
4 × 4 = 16
6 × 4 = 24
30 ÷ 4 = 7.5
7.5 × 4 = 30
At 7.5 seconds, Stephen reaches 30 feet.
You would want to make it so it has 12 on the bottom. So you would multiply by 12. Which is 84. The you put it over 12. So it would be 84/12.
Answer: 6.25
Step-by-step explanation:
Suppose we choose

and

. Then

Now suppose we choose

such that

where we pick the solution for this system such that

. Then we find

Note that you can always find a solution to the system above that satisfies

as long as

. What this means is that you can always find the value of

as a (constant) function of

.