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

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

(2,2.5) and (4,5)
left parenthesis 2 comma 2.5 right parenthesis and left parenthesis 4 comma 5 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 correspond to the cost function \( C = 1.25m + 25 \), we can plug the values of \( m \) into the equation to find the corresponding \( C \) values.

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

2. For the point \( (8, 35) \):
\[
C = 1.25(8) + 25 = 10 + 25 = 35
\]
This point is also valid.

Now we will check the other pairs:

3. For the point \( (2, 2.5) \):
\[
C = 1.25(2) + 25 = 2.5 + 25 = 27.5
\]
This point is not valid.

4. For the point \( (4, 5) \):
\[
C = 1.25(4) + 25 = 5 + 25 = 30
\]
This point is not valid as it does not match.

5. For \( (30, 4) \):
\[
C = 1.25(30) + 25 = 37.5 + 25 = 62.5
\]
Not valid.

6. For \( (35, 8) \):
\[
C = 1.25(35) + 25 = 43.75 + 25 = 68.75
\]
Not valid.

7. For \( (2, 22.5) \):
\[
C = 1.25(2) + 25 = 2.5 + 25 = 27.5
\]
Not valid.

8. For \( (4, 20) \):
\[
C = 1.25(4) + 25 = 5 + 25 = 30
\]
Not valid.

After checking all the points, the correct points that appear on the linear function are \( (4,30) \) and \( (8,35) \).

So the final answer is:
**(4, 30) and (8, 35)**.