Question

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c=30.75u+5.75,where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is the range of the function for this situation?

Answer 1

To find the range of the function, we need to substitute the minimum and maximum values for u into the function and determine the corresponding values of c.

For the minimum value, let's assume there are 8 players on the volleyball team:

c = 30.75(8) + 5.75
c = 246 + 5.75
c = 251.75

For the maximum value, let's assume there are 12 players on the volleyball team:

c = 30.75(12) + 5.75
c = 369 + 5.75
c = 374.75

Therefore, the range of the function for this situation is $251.75 to $374.75.