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

If there are at least 8 players and no more than 12 players on the volleyball team, we can plug in these possible values for `u` into the function to find the range.

For `u = 8`, the cost is `c = 30.75(8) + 5.75 = 246 + 5.75 = 251.75`.
For `u = 9`, the cost is `c = 30.75(9) + 5.75 = 276.75 + 5.75 = 282.5`.
For `u = 10`, the cost is `c = 30.75(10) + 5.75 = 307.5 + 5.75 = 313.25`.
For `u = 11`, the cost is `c = 30.75(11) + 5.75 = 338.25 + 5.75 = 344`.
For `u = 12`, the cost is `c = 30.75(12) + 5.75 = 369 + 5.75 = 374.75`.

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