Question

A rental truck company charges $25 to rent a truck, then $1.25 for every mile it is driven. The situation
can be expressed as , where is the total cost to rent the
truck and m is the miles driven. If you plot points on the linear function, which of the following would
appear?(1 point)
C = 1.25m + 25 𝐶 = 1.25𝑚 + 25 C𝐶
(2, 22.5) ( 2, 22.5 ) and (4, 20) ( 4, 20 )
(4, 30) ( 4, 30 ) and (8, 35) ( 8, 35 )
(30, 4) ( 30, 4 ) and (35, 8) ( 35, 8 )
(2, 2.5) ( 2, 2.5 ) and (4, 5)

Answer 1

To determine which points would appear on the graph of the function \( C = 1.25m + 25 \), we'll need to calculate the total cost \( C \) for various values of miles driven \( m \).

1. **For \( m = 2 \)**:
\[
C = 1.25 \times 2 + 25 = 2.5 + 25 = 27.5
\]
So, the point is \( (2, 27.5) \).

2. **For \( m = 4 \)**:
\[
C = 1.25 \times 4 + 25 = 5 + 25 = 30
\]
So, the point is \( (4, 30) \).

3. **For \( m = 8 \)**:
\[
C = 1.25 \times 8 + 25 = 10 + 25 = 35
\]
So, the point is \( (8, 35) \).

Based on these calculations, the points \( (2, 27.5) \), \( (4, 30) \), and \( (8, 35) \) lie on the linear function defined by the cost formula \( C = 1.25m + 25 \).

Now, let's look at the provided options:

- **(2, 22.5) and (4, 20)**: Incorrect
- **(4, 30) and (8, 35)**: Correct
- **(30, 4) and (35, 8)**: Incorrect
- **(2, 2.5) and (4, 5)**: Incorrect

So the correct answer is:

**(4, 30) and (8, 35)**.