Direct, Inverse, and Joint Variation Answers

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

A lumber company needs to estimate the volume of wood a load of timber will produce. The supervisor knows that the volume of wood in a tree varies jointly as the height h and the square of the tree’s girth g. The supervisor observes that a tree 40 meters tall with a girth of 1.5 meters produces 288 cubic meters of wood.a. Write an equation that represents this situation.b. What volume of wood can the supervisor expect to obtain from 50 trees averaging 75 meters in height and 2 meters in girth?

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.