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

(2,22.5)
(
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

(2,2.5)
(
2
,
2.5
)
and (4,5)

Answer 1

To determine which points could appear on the graph of the function \( C = 1.25m + 25 \), we can calculate the total cost \( C \) for various values of \( m \) (miles driven).

Let's calculate a few points:

1. For \( m = 0 \): \[ C = 1.25(0) + 25 = 25 \] So, the point is (0, 25).

2. For \( m = 2 \): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \] So, the point is (2, 27.5).

3. For \( m = 4 \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \] So, the point is (4, 30).

4. For \( m = 8 \): \[ C = 1.25(8) + 25 = 10 + 25 = 35 \] So, the point is (8, 35).

Now let's check the options provided:

1. (2, 22.5) and (4, 20): Not valid because (2, 22.5) and (4, 20) do not match our calculations.
2. (4, 30) and (8, 35): Valid because (4, 30) and (8, 35) match our calculations.
3. (30, 4) and (35, 8): Not valid because the first values (miles) would not correspond to the calculated costs.
4. (2, 2.5) and (4, 5): Not valid because the costs do not match our calculations.

Therefore, the answer is (4, 30) and (8, 35).