Question

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?

Answer 1

$273.60

Explanation:

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

i.e
`C\propto L\cdot D`

i.e
`C=k\cdot L\cdot D`

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

`\Rightarrow 48=k* 60* 2`

`\Rightarrow k=(48)/(60* 2)=0.4`

Now the equation becomes,

`C=0.4\cdot L\cdot D`

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

`C=0.4* 228* 3=\$273.60`