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 \(C=1.25m+251), where \(CI) 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)
• Veft(2,22.51right)l) and (Neft(4,20 right)l)
• Mlen(30,4right)) and NVert(35 Strighty%)
• \Neft(4,30ight)N) and \(left(8,35Might))
O weft(2,2.51right)) and (Neft(4,5\right)v)

Answer 1

To determine which points would appear on the linear function given by the equation \(C = 1.25m + 25\), we can calculate the cost \(C\) for the specified mileages \(m\) in each of the options.

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

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

3. For \(m = 30\):
\[
C = 1.25(30) + 25 = 37.5 + 25 = 62.5
\]
So the point is \((30, 62.5)\).

4. For \(m = 35\):
\[
C = 1.25(35) + 25 = 43.75 + 25 = 68.75
\]
So the point is \((35, 68.75)\).

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

Based on those computations, let's analyze the points given in the options:

- **Option A**: \( \text{(2, 22.5)} \) and \( \text{(4, 20)} \)
- Both values computed were \( (2, 27.5) \) and \( (4, 30) \). This option does not match.

- **Option B**: \( \text{(30, 4)} \) and \( \text{(35, ?)} \)
- \( C(30) = 62.5 \), so \( (30, 4) \) does not match.

- **Option C**: \( \text{(4, 30)} \) and \( \text{(8, 35)} \)
- Both of these points match our calculations.

- **Option D**: \( \text{(2, 2.5)} \) and \( \text{(4, 5)} \)
- Both of these points do not match our calculations.

Therefore, the correct choice is:
**Option C: \( \text{(4, 30)} \) and \( \text{(8, 35)} \)**.