The cost of stainless steel tubing varies jointly as the length and the diameter of the tubing. If a 5 foot length with diameter 2 inches costs $48.00 , how much will a 19 foot length with 3 inches diameter cost?

Respuesta :

Answer:

$273.60

Step-by-step explanation:

The cost of stainless steel tubing varies jointly as the length and the diameter of the tubing.

i.e [tex]C\propto L\cdot D[/tex]

i.e [tex]C=k\cdot L\cdot D[/tex]

A 5 foot or 60 inches length with diameter 2 inches costs $48.00, so

[tex]\Rightarrow 48=k\times 60\times 2[/tex]

[tex]\Rightarrow k=\dfrac{48}{60\times 2}=0.4[/tex]

Now the equation becomes,

[tex]C=0.4\cdot L\cdot D[/tex]

So the cost of a 19 foot or 228 inches length with 3 inches diameter is,

[tex]C=0.4\times 228\times 3=\$273.60[/tex]