Question

PLSSSS HELPPP. The price of a tennis racquet is inversely proportional to its weight. If a 20 oz. racquet cost $30.00, what would a 25 oz. racquet cost?

Answer 1

$24 will be the cost of tennis racquet with weight 25 oz.

Explanation:

Given that Price of racquet is inversely proportional to its weight.

i.e.

`Price \propto (1)/(Weight)`

We can replace the proportional sign with a constant of proportionality.

`Price = (C)/(Weight)`

Where C is a constant named as constant of proportionality.

Given that cost of 20 oz. racquet is $30.00

Putting both the values :

`30 = (C)/(20)\\\Rightarrow C = 600`

So, the equation becomes:

`Price = (600)/(Weight)`

Now, we have to find the price of 25 oz. racquet.

Putting Weight = 25 oz and finding Price:

`Price = (600)/(25)\\\Rightarrow Price = \$24`

So, $24 will be the cost of tennis racquet with weight 25 oz.