Suppose that a gallon ofpaint that covers 250 square feet ofwall costs $31.50. For each paint order: the paint store charges a $4 stocking fee. The paint store allows customers to purchase fractional gallons of paint. Let h be the function that determines the number of gallons of paint needed to paint I square feet of wall. Let g be the function that determines the cost (in dollars) of purchasing n gallons of paint. a. Answer each of the following: i. 'What is the input variable to the function h? x v Preview ii. 'What does 905(3)] represent? iii. 0 The cost (in dollars) of purchasing paint to panlt .7: feet of wall. '3) The cost (in dollars) of purchasing paint for a: square feet of wall. lQThe cost (in dollars) of 5 gallons of paint. 9 'What quantit}r links the function h and the function g? '3le cost g{n] of 11. gallons of paint. '3) The number of gallons of paint. lCDThe number ofsquare feet ofwall to be painted. a! b. Dene the function k that determines the number of gallons of paint needed to paint 2 square feet of wall. htx}=xf2 51] a! Preview e. Dene the function 9 that determines the cost (in dollars) ofpurehasing 11 gallons ofpajnt. (Don't forget the stocking fee of $4 per order). . new (1. Use 9 and h to dene a function that determines the cost (in dollars} to paint 2: feet ofwall. Queen = .. Preeew e. Dene a new function e to determine the cost (in dollars) to paint a square feet of wall? . Pee-iew f. Determine the cost of painting 1600 square feet of wall. 4.126*(180]+4 | a dollars v | v Preview