Pergunta
![4x Suppose the linear cost function C(x)=6x
gives the cost for buying xitems. If the items are sold in packages of 10.and no one can buy more than 5
packages, then the RANGE of the function C is
A
[0,50]
B
[5,10]
C
0,6,12,18,24,30
D
(10,20,30,40,50
E
{ 0,60,120,180,2
II](https://static.questionai.br.com/resource%2Fqaiseoimg%2F202503%2F4x-suppose-linear-cost-function-cx6xgives-cost-buying-tnaMcwaMeC0r.jpg?x-oss-process=image/resize,w_558,h_500/quality,q_35/format,webp)
4x Suppose the linear cost function C(x)=6x gives the cost for buying xitems. If the items are sold in packages of 10.and no one can buy more than 5 packages, then the RANGE of the function C is A [0,50] B [5,10] C 0,6,12,18,24,30 D (10,20,30,40,50 E { 0,60,120,180,2 II
Solução

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JosephinaVeterano · Tutor por 10 anos
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To find the range of the function C(x) = 6x given the constraints, we need to consider the possible values of x based on the information provided.
Since items are sold in packages of 10 and no one can buy more than 5 packages, the possible values of x are 0, 10, 20, 30, and 40 .
Now, let's calculate the corresponding values of C(x) for these values of x :
- For x = 0 : C(0) = 6 \times 0 = 0
- For x = 10 : C(10) = 6 \times 10 = 60
- For x = 20 : C(20) = 6 \times 20 = 120
- For x = 30 : C(30) = 6 \times 30 = 180
- For x = 40 : C(40) = 6 \times 40 = 240
Therefore, the range of the function C(x) = 6x given the constraints is \{0, 60, 120, 180, 240\} .
So, the correct answer is:
E. \{0, 60, 120, 180, 240\}
Since items are sold in packages of 10 and no one can buy more than 5 packages, the possible values of x are 0, 10, 20, 30, and 40 .
Now, let's calculate the corresponding values of C(x) for these values of x :
- For x = 0 : C(0) = 6 \times 0 = 0
- For x = 10 : C(10) = 6 \times 10 = 60
- For x = 20 : C(20) = 6 \times 20 = 120
- For x = 30 : C(30) = 6 \times 30 = 180
- For x = 40 : C(40) = 6 \times 40 = 240
Therefore, the range of the function C(x) = 6x given the constraints is \{0, 60, 120, 180, 240\} .
So, the correct answer is:
E. \{0, 60, 120, 180, 240\}
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