6. The cost for an upcoming field trip is $10 per student. The cost of the field trip, in dollars, is a function of the number of students.

Question

From the options below, select the 2 possible outputs (range) for the function defined by C(x) = 10x, where x is the number of students going on the field trip. Select only 2 options.
A) 35
B) 60
C) 20
D) 5
E) 92
F) 54

7. Evaluate the function f(x) = 4 − 5x using the inputs below.

Which input generates the largest output when evaluating the function?
A) f (−2)
B) f (1)
C) f (0)
D) f (4)

8. Which of the following equations correctly describes the function in the table using function notation?
x y
0 -2
2 4
4 10
6 16

A) f(x) = 2x + 4
B) f(x) = 3x − 2
C) f(x) = 2x
D) f(x) = x − 2

9. The function C(n) = 12n + 5 gives the cost to order a necklace n, including a flat rate shipping charge. What does 𝐶 (3) represent in the context of this scenario?
A) It represents cost.
B) It represents n = 3.
C) It represents buying 3 necklaces.
D) It represents the cost buying 3 necklaces.

Which of the following inputs does not make sense in the context of this scenario?
A) C (-20)
B) C (500)
C) C (10)

Answer 1

Here are the answers to your questions:

6. Possible outputs (range) for the function C(x) = 10x: To find the outputs, we need to consider the cost for a given number of students (x), which is calculated as \( C(x) = 10x \). The outputs must be multiples of 10.

• A) 35 (not a multiple of 10)
• B) 60 (a multiple of 10)
• C) 20 (a multiple of 10)
• D) 5 (not a multiple of 10)
• E) 92 (not a multiple of 10)
• F) 54 (not a multiple of 10)

The correct options are: B) 60 and C) 20

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7. Evaluate the function f(x) = 4 − 5x: Now we need to evaluate the function for each input:

• A) \( f(-2) = 4 - 5(-2) = 4 + 10 = 14 \)
• B) \( f(1) = 4 - 5(1) = 4 - 5 = -1 \)
• C) \( f(0) = 4 - 5(0) = 4 - 0 = 4 \)
• D) \( f(4) = 4 - 5(4) = 4 - 20 = -16 \)

The largest output is from A) f(-2) = 14.

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8. Which equation describes the function based on the provided table? To find the equation, we can look for a linear relationship between x and y based on the given points.

y = 2x - 2 fits with the points provided:

• For x = 0: y = 2(0) - 2 = -2
• For x = 2: y = 2(2) - 2 = 4
• For x = 4: y = 2(4) - 2 = 10
• For x = 6: y = 2(6) - 2 = 16

So the correct function is: B) f(x) = 3x − 2

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9. The function C(n) = 12n + 5 context:
C(3) represents the cost of ordering 3 necklaces, including the shipping charge. So, the correct answer is: D) It represents the cost of buying 3 necklaces.

Which input does not make sense? A negative value for n (C(-20)) does not make sense in this scenario, as you cannot order a negative quantity of necklaces. Thus the answer is: A) C (-20).