The volume of a box(v) varies directly with its length(l). if one of the boxes has a volume of 325 cubic inches and a length of 13 inches, what is the constant of proportionality for the group of boxes? 4,225 25 1/25

 25

Step-by-step explanation:

We know that if y (dependent variable) varies directly with x(Independent variable) then the equation for direct variation is given by :-

, where k is the proportionality constant.

Since, it is given that the  volume ( dependent variable )  of a box(V) varies directly with its length(l) (independent variable) , then the equation will be

, where k is the proportionality constant.

If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, then

Hence, the constant of proportionality for the group of boxes = 25

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.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: