The force F (in pounds) required to push a sofa across a floor varies directly as the weight w (in pounds) of the sofa. Complete parts (a) through (c) below. a. A person can push a 80-pound sofa across a wood floor by pushing with a force of 30 pounds. Find an equation that describes the relationship between w 4 and F. F = ma (Type an equation using w as the variable. Simplify your answer. Use integers or fractions for any numbers in the equation.) b. How much force is required to push a 120-pound sofa across a wood floor? A force of pounds is required to push a 120-pound sofa across a wood floor. (Type an integer or decimal.) c. How would an equation of a model for a carpeted floor compare with the model you found in part (a)? In particular, how would the variation constants compare? A The variation X Vi More Next 10:55 AM M 100% S&P... 3/13/2024