Ben builds custom ladders of varying heights. he uses this equation to determine the number of rungs, r , to put on a ladder that has a height of h feet. r = h ÷ 0.8 what is the independent variable in this situation? the height of the ladder the number of ladders the space between rungs on the ladder the total number of rungs on the ladder

Ben builds ladders of different heights and put the number of rungs depending upon height of any particular ladder. He uses an equation for this construction that is given by :-

r = h ÷ 0.8

where h is the height of the ladder and r is the number of rungs in that ladder.

As we increase the height of the ladder, we need more rungs. If we decrease height, we would need lesser rungs.

Thereby, the number of rungs depend on the height of the ladder. It means value of r depends on value of h.

So r is dependent variable, and h is the independent variable.

Hence, option A is correct i.e. the height of the ladder.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.