A basketball clinic charges $200 per player for a group of 25 players. What a group brings 35 players, the rate is reduced to $150 per player. What is the decrease in the cost per player (rate of change)?

Respuesta :

Answer: Decrease in the cost per player will be 25 .

Explanation:

Since we have given that

Number of player = 25

Amount charges by basket ball clinic = $ 200

Total amount earned by basket ball clinic = 25 Γ—200=$ 5000

Number of player = 35

Amount reduced to = $ 150

Now, total amount earned by basket ball clinic = 35Γ— 150= $5250

Now, we will calculate the slope

As we know the formula of slope which is given by

[tex]\frac{y_2-y_1}{x_2-x_1}\\=\frac{5250-5000}{35-25}\\=\frac{250}{10}\\=25[/tex]

So, Decrease in the cost per player will be 25 .

Amount taken by basketball clinic per player if the group consists of 25 players=$200

Total amount charged=$200 Γ— 25= $5,000

Amount taken by basketball clinic per player if the group consists of 35 players=$150

Total amount charged=$150Γ—35=$5250

Rate of change =[( Total Amount taken by basketball clinic per player if the group consists of 35 players) - (Total Amount taken by basketball clinic per player if the group consists of 25 players)] Β  / Β  Β  (35 -25)

Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  =[tex]\frac{5250-5000}{10}[/tex]

Β  Β =250/10

Β  Β =25

Rate of change i.e decrease in cost per player =$25