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 one cannot purchase -2 lip glosses.
No, it does not make sense because one cannot purchase -2 lip glosses.
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 only irrational values are impossible.
Yes, it makes sense because only irrational values are impossible.
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.
The correct response is: No, it does not make sense because one cannot purchase -2 lip glosses.
To understand why, let's analyze the function C(l) = 3l + 2. In this function, l represents the number of lip glosses being purchased. The function calculates the cost (C) of purchasing a specific number of lip glosses by multiplying the number of lip glosses by 3 and adding 2.
Now, think about the scenario in question: evaluating C(-2). This would mean plugging -2 into the function to find the cost of purchasing -2 lip glosses. However, it does not make sense to talk about purchasing a negative number of lip glosses. Purchasing lip glosses involves buying a physical product, and it is not possible to buy a negative quantity of an item.
Therefore, the answer is that C(-2) does not make sense in the context of this function.