The cost of stainless steel tubing varies jointly as the length and the diameter of the tubing. If a 5ft length with diameter 2 inches costs $48.00, how much will a 17tf length with diameter 5in. cost?

Answer:The cost for 17 ft length with diameter 5 in is $408.Step-by-step explanation:Consider the provided information.It is given that the cost of stainless steel tubing varies jointly as the length and the diameter of the tubing. If a 5 foot length with a diameter 2 inches costs $48.00.let [tex]C\propto L\cdot D[/tex][tex]C=k\cdot L\cdot D[/tex][tex]48=k\cdot 5\cdot 2[/tex][tex]\frac{48}{10}=k[/tex][tex]k=4.8[/tex]For 17 ft length with diameter 5in the cost will be:[tex]C=k\cdot L\cdot D[/tex]Substitute the respective values in the above formula.[tex]C=4.8\cdot 17\cdot 5[/tex][tex]C=408[/tex]Cost = $408 Hence, the cost for 17 ft length with diameter 5in is $408.