Given the function C(l) = 3l + 2 represents the cost to purchase l lip glosses, including the flat rate shipping cost, does finding C(−2) make sense in the context of this function? (1 point)
Responses
No, it does not make sense because cost cannot be -2.
No, it does not make sense because cost cannot be -2.
Yes, it makes sense because that is the cost of shipping.
Yes, it makes sense because that is the cost of shipping.
No, it does not make sense because one cannot purchase -2 lip glosses.
No, it does not make sense because one cannot purchase -2 lip glosses.
Yes, it makes sense because only irrational values are impossible.
No, it does not make sense because one cannot purchase -2 lip glosses.
No, it does not make sense because one cannot purchase -2 lip glosses.
The correct response is: No, it does not make sense because one cannot purchase -2 lip glosses.
To explain how to arrive at this answer, we need to understand the function C(l) = 3l + 2. This function calculates the total cost (C) to purchase a given number of lip glosses (l), including the flat rate shipping cost. When we substitute a value into the function and evaluate it, we are determining the cost for that specific number of lip glosses.
In the given question, we are asked to find C(-2), which means we need to calculate the cost of purchasing -2 lip glosses. However, it does not make sense to purchase a negative number of lip glosses since purchasing implies acquiring a quantity of items. We cannot physically have a negative number of lip glosses, so it is not meaningful to find the cost for -2 lip glosses.
Hence, the answer is that it does not make sense to find C(-2) in the context of this function because one cannot purchase -2 lip glosses.