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

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

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

(4,30)
and (8,35)

Answer 1

To determine which points would appear on the graph of the function \( C = 1.25m + 25 \), we can substitute the values of \( m \) from each pair of points into the equation and check if the corresponding \( C \) values match.

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 \( (2, 22.5) \):
\[
C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \quad (\text{not } 22.5)
\]

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

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 \( (4, 30) \):
\[
C = 1.25(4) + 25 = 5 + 25 = 30 \quad (\text{this one is correct})
\]

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

The only points that satisfy the equation \( C = 1.25m + 25 \) are \( (4, 30) \) and \( (8, 35) \).

Thus, the correct response is: **(4, 30) and (8, 35)**.