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

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

(2,22.5)
(
2
,
22.5
)
and (4,20)

Answer 1

To determine which points appear on the linear function \( C = 1.25m + 25 \), we can plug in the values of \( m \) from each option into the equation to see if we obtain the corresponding \( C \) values.

1. Option (2, 2.5) and (4, 5):

   • For \( m = 2 \): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \]
   • For \( m = 4 \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \]
   • Neither point is correct.

2. Option (30, 4) and (35, 8):

   • For \( m = 4 \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \]
   • For \( m = 8 \): \[ C = 1.25(8) + 25 = 10 + 25 = 35 \]
   • Both points are correct.

3. Option (4, 30) and (8, 35):

   • For \( m = 4 \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \]
   • For \( m = 8 \): \[ C = 1.25(8) + 25 = 10 + 25 = 35 \]
   • Both points are correct.

4. Option (2, 22.5) and (4, 20):

   • For \( m = 2 \): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \]
   • For \( m = 4 \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \]
   • Neither point is correct.

From these calculations, the only corresponding points that appear on the linear function from the given options are \( (30, 4) \) and \( (35, 8) \).