. The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c = 30.75tt + 5.75 where 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 ? 0 < n <= 12; 0 < c < 374.75; \{8, 9, 10, 11, 12\}; \{251, 75, 282.5, 313.25, 344, 374.74\}

Answer 1

To find the range of the function for this situation, we need to substitute each possible value of n (the number of uniforms bought) in the given function and find the corresponding values of c (the total cost).

Given that n is between 8 and 12, we substitute these values into the function:

For n = 8:
c = 30.75(8^2) + 5.75 = 30.75(64) + 5.75 = 1980.00

For n = 9:
c = 30.75(9^2) + 5.75 = 30.75(81) + 5.75 = 2473.25

For n = 10:
c = 30.75(10^2) + 5.75 = 30.75(100) + 5.75 = 3127.50

For n = 11:
c = 30.75(11^2) + 5.75 = 30.75(121) + 5.75 = 3942.25

For n = 12:
c = 30.75(12^2) + 5.75 = 30.75(144) + 5.75 = 4929.25

Therefore, the range of the function for this situation is 1980.00 <= c <= 4929.25.