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)((1)/(2))=300`

b)
`y=(600)(1)=600`

c)
`x=(1)/(600)=1.66*10^(-3)`

d)
`x=(2)/(600)=3.33*10^(-3)`

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