The range of a function is the set of all possible output values. In this case, the cost is the output value, which is determined by the number of balls purchased (the input value).
To find the range, we need to consider the minimum and maximum number of balls the coach can buy. The minimum is 6 balls and the maximum is 15 balls.
Substituting these values into the function, we get:
c(6) = 6.25(6) + 5.50 = 37.50 + 5.50 = 43.00
c(15) = 6.25(15) + 5.50 = 93.75 + 5.50 = 99.25
So the function outputs a minimum cost of $43.00 and a maximum cost of $99.25.
Therefore, the range of this function is the set of all possible costs, which is $43.00 to $99.25.
A coach is buying new soccer balls for the team. The total cost can be found using this function c(b)=6.25b+5.50. The coach needs to buy at least 6 balls but no more than 15.
What is the range of this function?
3 answers
that is incorrect
Apologies for the mistake.
To correct it, let's consider the minimum and maximum numbers of balls the coach can buy, which are 6 and 15, respectively.
Substituting these values into the function, we get:
c(6) = 6.25(6) + 5.50 = 37.50 + 5.50 = 43.00
c(15) = 6.25(15) + 5.50 = 93.75 + 5.50 = 99.25
Therefore, the range of this function is the set of all possible costs, which is $43.00 to $99.25.
To correct it, let's consider the minimum and maximum numbers of balls the coach can buy, which are 6 and 15, respectively.
Substituting these values into the function, we get:
c(6) = 6.25(6) + 5.50 = 37.50 + 5.50 = 43.00
c(15) = 6.25(15) + 5.50 = 93.75 + 5.50 = 99.25
Therefore, the range of this function is the set of all possible costs, which is $43.00 to $99.25.