After reaching the top of a cliff a rock climber descended the rock face using a 65 ft rope the distance to the base of cliff was 585 ft how many rope lengths did it take climber to reach descent

The required number of ropes is 9.

Step-by-step explanation:

The length of rope is 65 ft.

The distance to the base of cliff was 585 ft.

Let the number of ropes or same lengths did it take climber to reach descent be x.

Divide both sides of 65.

Therefore the required number of ropes is 9.

answer: 12

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: