Question

*URGENT PLEASE HELP*The total number of vertical feet that a climber has traveled varies directly with the number of hours she has been climbing. The constant proportionality is 600.

Answer 1

The answer is:

a) 300

b) 600

c) $1.66*10^{-3}$

d) $3.33*10^{-3}$

e) 2400

The explanation is shown below:

1. You have that the total number of vertical feet that a climber has traveled (which you can call $y$), varies directly with the number of hours she has been climbing (which you can call $x$), and the constant of proportionality is 600 ($k=600$).

2. Keeping this on mind you can express it as following:

$y=kx\\y=600x$

3. Now, substitute the values given in the table and solve for $y$ to calculate the number of feet or solve for $x$ to calculate the time in hours:

a) $y=(600)(\frac{1}{2})=300$

b) $y=(600)(1)=600$

c) $x=\frac{1}{600}=1.66*10^{-3}$

d) $x=\frac{2}{600}=3.33*10^{-3}$

e) $y = (600)(4)=2400$