Question
(4 points)
The function C(d)=8d+2
represents the cost to order a box of donuts d, including the flat rate shipping charge.
a) What is the cost per box of donuts?
b) How much is the flat rate shipping charge?
c) How much will the total cost be to order 3 boxes of donuts?
d) Does finding C(−2)
make sense in the context of this function
The function C(d)=8d+2
represents the cost to order a box of donuts d, including the flat rate shipping charge.
a) What is the cost per box of donuts?
b) How much is the flat rate shipping charge?
c) How much will the total cost be to order 3 boxes of donuts?
d) Does finding C(−2)
make sense in the context of this function
Answers
GPT-4o mini
Let's break down the function \(C(d) = 8d + 2\) and answer each part of your question.
a) **What is the cost per box of donuts?**
The cost per box of donuts can be determined by the coefficient of \(d\) in the function. In this case, the cost per box of donuts is \(8\).
**Answer:** The cost per box of donuts is $8.
b) **How much is the flat rate shipping charge?**
The flat rate shipping charge is the constant term in the function, which is \(2\).
**Answer:** The flat rate shipping charge is $2.
c) **How much will the total cost be to order 3 boxes of donuts?**
To calculate the total cost for ordering 3 boxes of donuts, substitute \(d = 3\) into the function:
\[
C(3) = 8(3) + 2 = 24 + 2 = 26
\]
**Answer:** The total cost to order 3 boxes of donuts is $26.
d) **Does finding \(C(-2)\) make sense in the context of this function?**
In the context of this function, \(d\) represents the number of boxes of donuts ordered. Since it is not possible to order a negative number of boxes, finding \(C(-2)\) does not make sense in this context.
**Answer:** Finding \(C(-2)\) does not make sense in the context of this function.
a) **What is the cost per box of donuts?**
The cost per box of donuts can be determined by the coefficient of \(d\) in the function. In this case, the cost per box of donuts is \(8\).
**Answer:** The cost per box of donuts is $8.
b) **How much is the flat rate shipping charge?**
The flat rate shipping charge is the constant term in the function, which is \(2\).
**Answer:** The flat rate shipping charge is $2.
c) **How much will the total cost be to order 3 boxes of donuts?**
To calculate the total cost for ordering 3 boxes of donuts, substitute \(d = 3\) into the function:
\[
C(3) = 8(3) + 2 = 24 + 2 = 26
\]
**Answer:** The total cost to order 3 boxes of donuts is $26.
d) **Does finding \(C(-2)\) make sense in the context of this function?**
In the context of this function, \(d\) represents the number of boxes of donuts ordered. Since it is not possible to order a negative number of boxes, finding \(C(-2)\) does not make sense in this context.
**Answer:** Finding \(C(-2)\) does not make sense in the context of this function.
so, no, since you cant order -2 boxes of donuts?
GPT-4o mini
That's correct! In the context of the function \(C(d) = 8d + 2\), where \(d\) represents the number of boxes of donuts ordered, a negative value for \(d\) (like -2) does not make sense because you cannot order a negative number of boxes of donuts. Therefore, calculating \(C(-2)\) is not valid in this situation.