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+25
, where C
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)
Responses

(4,30)
and (8,35)
left parenthesis 4 comma 30 right parenthesis and left parenthesis 8 comma 35 right parenthesis

(30,4)
and (35,8)
left parenthesis 30 comma 4 right parenthesis and left parenthesis 35 comma 8 right parenthesis

(2,2.5)
and (4,5)
left parenthesis 2 comma 2.5 right parenthesis and left parenthesis 4 comma 5 right parenthesis

(2,22.5)
and (4,20)

Answer 1

To determine which of the given points appear on the linear function \( C = 1.25m + 25 \), where \( C \) is the total cost and \( m \) is the miles driven, we need to calculate \( C \) for the values of \( m \) given in the options.

1. **For (4,30):**
\[
C = 1.25(4) + 25 = 5 + 25 = 30
\]
This point is valid.

2. **For (8,35):**
\[
C = 1.25(8) + 25 = 10 + 25 = 35
\]
This point is valid.

Both points (4,30) and (8,35) are valid points on the linear function.

Now, let's check the other options to confirm they do not match:

3. **For (30,4):**
\[
C = 1.25(30) + 25 = 37.5 + 25 = 62.5
\]
This does not match (30,4).

4. **For (35,8):**
\[
C = 1.25(35) + 25 = 43.75 + 25 = 68.75
\]
This does not match (35,8).

5. **For (2,2.5):**
\[
C = 1.25(2) + 25 = 2.5 + 25 = 27.5
\]
This does not match (2,2.5).

6. **For (4,5):**
\[
C = 1.25(4) + 25 = 5 + 25 = 30
\]
This is not corresponding correctly.

7. **For (2,22.5):**
\[
C = 1.25(2) + 25 = 2.5 + 25 = 27.5
\]
This does not match (2,22.5).

8. **For (4,20):**
\[
C = 1.25(4) + 25 = 5 + 25 = 30
\]
This does not match (4,20).

The only valid points from the tests we calculated are (4,30) and (8,35). Thus, the correct response is:

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