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

(2,2.5)
and (4,5)
left parenthesis 2 comma 2.5 right parenthesis and left parenthesis 4 comma 5 right parenthesis

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

(2,22.5)
and (4,20)

Answer 1

To determine which pairs of points lie on the linear function \( C = 1.25m + 25 \), we need to substitute the \( m \) values from each point into the equation to see if we get the corresponding \( C \) values.

Let's evaluate each of the response options:

1. **(30, 4) and (35, 8)**
- For (30, 4):
\[ C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \quad \text{(not 4)} \]
- For (35, 8):
\[ C = 1.25(35) + 25 = 43.75 + 25 = 68.75 \quad \text{(not 8)} \]

2. **(2, 2.5) and (4, 5)**
- For (2, 2.5):
\[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \quad \text{(not 2.5)} \]
- For (4, 5):
\[ C = 1.25(4) + 25 = 5 + 25 = 30 \quad \text{(not 5)} \]

3. **(4, 30) and (8, 35)**
- For (4, 30):
\[ C = 1.25(4) + 25 = 5 + 25 = 30 \quad \text{(matches)} \]
- For (8, 35):
\[ C = 1.25(8) + 25 = 10 + 25 = 35 \quad \text{(matches)} \]

4. **(2, 22.5) and (4, 20)**
- For (2, 22.5):
\[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \quad \text{(not 22.5)} \]
- For (4, 20):
\[ C = 1.25(4) + 25 = 5 + 25 = 30 \quad \text{(not 20)} \]

After evaluating all the options, the points that appear on the linear function \( C = 1.25m + 25 \) are:

**(4, 30) and (8, 35).**

Thus, the answer is the third option: **(4, 30) and (8, 35).**