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 ×200=$ 5000
Number of player = 35
Amount reduced to = $ 150
Now, total amount earned by basket ball clinic = 35× 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 × 25= $5,000
Amount taken by basketball clinic per player if the group consists of 35 players=$150
Total amount charged=$150×35=$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)] / (35 -25)
=[tex]\frac{5250-5000}{10}[/tex]
=250/10
=25
Rate of change i.e decrease in cost per player =$25
