Question
3. The cost for an upcoming field trip is $30 per student. The cost of the field trip, in dollars, is a function of the number of students.
Select all the possible outputs for the function defined by C(x) = 30x where x is the number of students going on the fieldtrip.
A) 50
B) 100
C) 90
D) 20
E) 30
4. The cost for an upcoming field trip is $30 per student. The cost of the field trip, is dollars, is a function of the number of students x.
Select ALL the possible inputs (domain) for the function defined by C(x) = 30x where x is number of students attending the field trip.
A) 4.5
B) 22
C) 14 3/4
D) 45
E) 15
5. Select all representations for the domain of a function given by the number of minutes spent studying for this test in the last hour.
A) {x|0 ≤ x ≤ 60}
B) [0, ∞)
C) [0, 60]
D) (0, 60)
E) {x|x > 60}
F) {x|x∈R}
G) (60, ∞)
Select all the possible outputs for the function defined by C(x) = 30x where x is the number of students going on the fieldtrip.
A) 50
B) 100
C) 90
D) 20
E) 30
4. The cost for an upcoming field trip is $30 per student. The cost of the field trip, is dollars, is a function of the number of students x.
Select ALL the possible inputs (domain) for the function defined by C(x) = 30x where x is number of students attending the field trip.
A) 4.5
B) 22
C) 14 3/4
D) 45
E) 15
5. Select all representations for the domain of a function given by the number of minutes spent studying for this test in the last hour.
A) {x|0 ≤ x ≤ 60}
B) [0, ∞)
C) [0, 60]
D) (0, 60)
E) {x|x > 60}
F) {x|x∈R}
G) (60, ∞)
Answers
GPT-4o mini
Let's analyze each question step by step.
### Question 3:
The cost function is defined as \( C(x) = 30x \) where \( x \) is the number of students. To find possible outputs for this function, we look for values that can be expressed as \( 30x \) where \( x \) is a non-negative integer (since you can't have a negative or fractional number of students).
**Possible Outputs:**
- A) 50: Not possible, since \( 50/30 \) is not an integer.
- B) 100: Possible, since \( C(3.33...) \) but cannot be an integer.
- C) 90: Possible, since \( 90 = 30 \times 3 \) (3 students).
- D) 20: Not possible, since \( 20/30 \) is not an integer.
- E) 30: Possible, since \( 30 = 30 \times 1 \) (1 student).
**Selected Possible Outputs:** B, C, E
### Question 4:
We look for inputs \( x \) (the number of students) that can be used in the function \( C(x) = 30x \). Since the number of students must be a non-negative integer, let's evaluate each option:
**Possible Inputs (Domain):**
- A) 4.5: Not possible since it is not an integer.
- B) 22: Possible (22 students).
- C) 14 3/4: Not possible since it is not an integer.
- D) 45: Possible (45 students).
- E) 15: Possible (15 students).
**Selected Possible Inputs:** B, D, E
### Question 5:
Here we are representing the time spent studying (in minutes) last hour, which can range from 0 to 60 minutes.
**Possible Representations for the Domain:**
- A) {x | 0 ≤ x ≤ 60}: Possible, includes all minutes from 0 to 60 inclusive.
- B) [0, ∞): Not possible, since studying cannot be more than 60 minutes in this context.
- C) [0, 60]: Possible, represents all time from 0 up to and including 60 minutes.
- D) (0, 60): Not possible, since it excludes 0 and 60 minutes which are valid times.
- E) {x | x > 60}: Not possible, may not study more than 60 minutes.
- F) {x | x ∈ R}: Not possible, since it includes all real numbers which is too broad.
- G) (60, ∞): Not possible since it is outside the studying time context.
**Selected Representations for Domain:** A, C
If you need more help or clarification, feel free to ask!
### Question 3:
The cost function is defined as \( C(x) = 30x \) where \( x \) is the number of students. To find possible outputs for this function, we look for values that can be expressed as \( 30x \) where \( x \) is a non-negative integer (since you can't have a negative or fractional number of students).
**Possible Outputs:**
- A) 50: Not possible, since \( 50/30 \) is not an integer.
- B) 100: Possible, since \( C(3.33...) \) but cannot be an integer.
- C) 90: Possible, since \( 90 = 30 \times 3 \) (3 students).
- D) 20: Not possible, since \( 20/30 \) is not an integer.
- E) 30: Possible, since \( 30 = 30 \times 1 \) (1 student).
**Selected Possible Outputs:** B, C, E
### Question 4:
We look for inputs \( x \) (the number of students) that can be used in the function \( C(x) = 30x \). Since the number of students must be a non-negative integer, let's evaluate each option:
**Possible Inputs (Domain):**
- A) 4.5: Not possible since it is not an integer.
- B) 22: Possible (22 students).
- C) 14 3/4: Not possible since it is not an integer.
- D) 45: Possible (45 students).
- E) 15: Possible (15 students).
**Selected Possible Inputs:** B, D, E
### Question 5:
Here we are representing the time spent studying (in minutes) last hour, which can range from 0 to 60 minutes.
**Possible Representations for the Domain:**
- A) {x | 0 ≤ x ≤ 60}: Possible, includes all minutes from 0 to 60 inclusive.
- B) [0, ∞): Not possible, since studying cannot be more than 60 minutes in this context.
- C) [0, 60]: Possible, represents all time from 0 up to and including 60 minutes.
- D) (0, 60): Not possible, since it excludes 0 and 60 minutes which are valid times.
- E) {x | x > 60}: Not possible, may not study more than 60 minutes.
- F) {x | x ∈ R}: Not possible, since it includes all real numbers which is too broad.
- G) (60, ∞): Not possible since it is outside the studying time context.
**Selected Representations for Domain:** A, C
If you need more help or clarification, feel free to ask!