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?

Respuesta :

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.