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

Question

𝐶
=
1.25
𝑚
+
25
, where C
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)
(
2
,
2.5
)
and (4,5)
(
4
,
5
)
left parenthesis 2 comma 2.5 right parenthesis and left parenthesis 4 comma 5 right parenthesis

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

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

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

Answer 1

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

1. For \( m = 2 \): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \] Point: \( (2, 27.5) \)

2. For \( m = 4 \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \] Point: \( (4, 30) \)

3. For \( m = 30 \): \[ C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \] Point: \( (30, 62.5) \)

4. For \( m = 35 \): \[ C = 1.25(35) + 25 = 43.75 + 25 = 68.75 \] Point: \( (35, 68.75) \)

Now let's compare these computed points with the options we have:

• \( (2, 2.5) \) and \( (4, 5) \): Not valid.
• \( (2, 22.5) \) and \( (4, 20) \): Not valid.
• \( (4, 30) \) and \( (8, 35) \): Valid for \( (4, 30) \).
• \( (30, 4) \) and \( (35, 8) \): Not valid.

The correct response is: (4, 30) with the point \( (2, 27.5) \) not listed, but \( (4, 30) \) is a valid point. Thus, we can conclude that the option including (4, 30) is correct.