Question

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

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

(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

(2,22.5) and (4,20)
left parenthesis 2,22.5 right parenthesis and left parenthesis 4 comma 20 right parenthesis
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Answer 1

To determine which points are on the linear function \( C = 1.25m + 25 \), we can plug in the values of \( m \) from each proposed point to see if they yield the correct cost \( C \).

1. **For the point (2, 2.5)**:
\[
C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \quad (\text{not } 2.5)
\]

2. **For the point (4, 5)**:
\[
C = 1.25(4) + 25 = 5 + 25 = 30 \quad (\text{not } 5)
\]

3. **For the point (4, 30)**:
\[
C = 1.25(4) + 25 = 5 + 25 = 30 \quad (\text{this is valid})
\]

4. **For the point (8, 35)**:
\[
C = 1.25(8) + 25 = 10 + 25 = 35 \quad (\text{this is valid})
\]

5. **For the point (30, 4)**:
\[
C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \quad (\text{not } 4)
\]

6. **For the point (35, 8)**:
\[
C = 1.25(35) + 25 = 43.75 + 25 = 68.75 \quad (\text{not } 8)
\]

7. **For the point (2, 22.5)**:
\[
C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \quad (\text{not } 22.5)
\]

8. **For the point (4, 20)**:
\[
C = 1.25(4) + 25 = 5 + 25 = 30 \quad (\text{not } 20)
\]

After checking all points, we find only the points (4, 30) and (8, 35) fit the equation correctly. Therefore, the correct response includes:

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