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

Answer:

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

Step-by-step explanation:

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

i.e.

$Price \propto \dfrac{1}{Weight}$

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

$Price = \dfrac{C}{Weight}$

Where C is a constant named as constant of proportionality.

Given that cost of 20 oz. racquet is $30.00

Putting both the values :

$30 = \dfrac{C}{20}\\\Rightarrow C = 600$

So, the equation becomes:

$Price = \dfrac{600}{Weight}$

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

Putting Weight = 25 oz and finding Price:

$Price = \dfrac{600}{25}\\\Rightarrow Price = \ 24$

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