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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...Asked by T-Swizzle
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. 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.
20
92
60
54
35
5
20
92
60
54
35
5
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Answered by
GPT-4o mini
To find the possible outputs of the function C(x) = 10x, we need to consider which of the given options can be expressed as 10 multiplied by a positive integer (since the number of students must be a whole number).
Calculating for each option:
- For 20: \( C(x) = 10 \times 2 \) (possible, as x = 2)
- For 92: Not an integer solution (since \( 92/10 = 9.2 \))
- For 60: \( C(x) = 10 \times 6 \) (possible, as x = 6)
- For 54: Not an integer solution (since \( 54/10 = 5.4 \))
- For 35: Not an integer solution (since \( 35/10 = 3.5 \))
- For 5: \( C(x) = 10 \times 0.5 \) (not possible, as x must be a whole number)
The two valid outputs from the options are:
- 20
- 60
So the selected outputs are **20** and **60**.
Calculating for each option:
- For 20: \( C(x) = 10 \times 2 \) (possible, as x = 2)
- For 92: Not an integer solution (since \( 92/10 = 9.2 \))
- For 60: \( C(x) = 10 \times 6 \) (possible, as x = 6)
- For 54: Not an integer solution (since \( 54/10 = 5.4 \))
- For 35: Not an integer solution (since \( 35/10 = 3.5 \))
- For 5: \( C(x) = 10 \times 0.5 \) (not possible, as x must be a whole number)
The two valid outputs from the options are:
- 20
- 60
So the selected outputs are **20** and **60**.
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