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

c is linear increasing in u, so min at u = 8 and max at u = 12.

For u = 8: c = 30.75(8) + 5.75 = 246 + 5.75 = 251.75
For u = 12: c = 30.75(12) + 5.75 = 369 + 5.75 = 374.75

Range: $251.75 \le c \le $374.75 (or [251.75, 374.75]).