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

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 $C\propto L\cdot D$

$C=k\cdot L\cdot D$

$48=k\cdot 5\cdot 2$

$\frac{48}{10}=k$

$k=4.8$

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.