Question

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)=10xC(x)=10x , where x is the number of students going on the field trip. Select only 2 options. (2 points) Responses 35 35 60 60 20 20 54 54 5 5 92

Answer 1

Evaluate the function f(x)=4−5x using the inputs below. Which input generates the largest output when evaluating the function? (1 point) Responses f(−2)f of negative 2 f(1)f of 1 f(4)f of 4 f(0)f of 0

Answer 2

Given the function \( C(x) = 10x \), where \( x \) is the number of students, we can find the possible outputs (cost) by multiplying the number of students by 10.

To choose the 2 possible outputs from the provided options, let's consider the outputs based on typical numbers of students:

1. If \( x = 2 \), \( C(2) = 10 \times 2 = 20 \)
2. If \( x = 3 \), \( C(3) = 10 \times 3 = 30 \)
3. If \( x = 4 \), \( C(4) = 10 \times 4 = 40 \)
4. If \( x = 5 \), \( C(5) = 10 \times 5 = 50 \)
5. If \( x = 6 \), \( C(6) = 10 \times 6 = 60 \)
6. If \( x = 7 \), \( C(7) = 10 \times 7 = 70 \)
7. If \( x = 8 \), \( C(8) = 10 \times 8 = 80 \)
8. If \( x = 9 \), \( C(9) = 10 \times 9 = 90 \)
9. If \( x = 10 \), \( C(10) = 10 \times 10 = 100 \)

From your provided options, we can see that two possible outputs based on multiples of 10 include:

- 20 (for 2 students)
- 60 (for 6 students)

Thus, the two possible outputs are **20** and **60**.

Answer 3

To find the largest output of the function \( f(x) = 4 - 5x \) using the provided inputs, we need to evaluate the function at each given input:

1. **For \( f(-2) \)**:
\[
f(-2) = 4 - 5(-2) = 4 + 10 = 14
\]

2. **For \( f(1) \)**:
\[
f(1) = 4 - 5(1) = 4 - 5 = -1
\]

3. **For \( f(4) \)**:
\[
f(4) = 4 - 5(4) = 4 - 20 = -16
\]

4. **For \( f(0) \)**:
\[
f(0) = 4 - 5(0) = 4 - 0 = 4
\]

Now we have the outputs for each input:
- \( f(-2) = 14 \)
- \( f(1) = -1 \)
- \( f(4) = -16 \)
- \( f(0) = 4 \)

The largest output is from \( f(-2) \), which is **14**. Therefore, the input that generates the largest output is **f(-2)**.