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

(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

(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)

Answer 1

To determine which points would appear on the linear function \( C = 1.25m + 25 \), we need to substitute the values for \( m \) from the options given and calculate the corresponding values of \( C \).

1. **For the point (30, 4):**
\[
C = 1.25(4) + 25 = 5 + 25 = 30
\]
So, (30, 4) does not satisfy the equation.

2. **For the point (35, 8):**
\[
C = 1.25(8) + 25 = 10 + 25 = 35
\]
So, (35, 8) does satisfy the equation.

3. **For the point (2, 22.5):**
\[
C = 1.25(2) + 25 = 2.5 + 25 = 27.5
\]
So, (2, 22.5) does not satisfy the equation.

4. **For the point (4, 20):**
\[
C = 1.25(4) + 25 = 5 + 25 = 30
\]
So, (4, 20) does not satisfy the equation.

5. **For the point (4, 30):**
\[
C = 1.25(4) + 25 = 5 + 25 = 30
\]
So, (4, 30) does satisfy the equation.

6. **For the point (8, 35):**
\[
C = 1.25(8) + 25 = 10 + 25 = 35
\]
So, (8, 35) does satisfy the equation.

7. **For the point (2, 2.5):**
\[
C = 1.25(2) + 25 = 2.5 + 25 = 27.5
\]
So, (2, 2.5) does not satisfy the equation.

8. **For the point (4, 5):**
\[
C = 1.25(4) + 25 = 5 + 25 = 30
\]
So, (4, 5) does not satisfy the equation.

**Conclusion: The points (4, 30) and (8, 35) satisfy the equation.**

Thus, the response that appears as correct among the given options is:
- **(4, 30) and (8, 35)**.