The function C(d)=8d+2
represents the cost to order a box of donuts d, including the flat rate shipping charge.
Does finding C(−2)
make sense in the context of this function?
Responses
No, it does not make sense because -2 is not rational.
No, it does not make sense because -2 is not rational.
No, it does not make sense because you cannot order -2 boxes of donuts.
No, it does not make sense because you cannot order -2 boxes of donuts.
Yes, it makes sense because that is the cost of shipping.
Yes, it makes sense because that is the cost of shipping.
Yes, it makes sense because only irrational values are impossible.
No, it does not make sense because you cannot order -2 boxes of donuts.
No, it does not make sense because you cannot order -2 boxes of donuts.
The correct response is:
No, it does not make sense because you cannot order -2 boxes of donuts.
To explain why, let's consider the function C(d) = 8d + 2, where the variable d represents the number of boxes of donuts ordered. In this function, the term 8d represents the cost of the donuts (assuming each box costs $8), and the constant 2 represents the flat rate shipping charge.
When evaluating C(-2), we are substituting -2 for d, which means we want to find the cost of ordering -2 boxes of donuts. In the context of this function, ordering a negative number of boxes does not make sense because it is not physically possible to have a negative number of boxes of donuts.
Therefore, finding C(-2) does not make sense in the context of this function because it represents an invalid scenario.