Question

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 1

The cost for 17 ft length with diameter 5 in is $408.

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
`C\propto L\cdot D`

`C=k\cdot L\cdot D`

`48=k\cdot 5\cdot 2`

`(48)/(10)=k`

`k=4.8`

For 17 ft length with diameter 5in the cost will be:

`C=k\cdot L\cdot D`

Substitute the respective values in the above formula.

`C=4.8\cdot 17\cdot 5`

`C=408`

Cost = $408

Hence, the cost for 17 ft length with diameter 5in is $408.