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

, 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

(2,22.5)
and (4,20)
left parenthesis 2,22.5 right parenthesis and left parenthesis 4 comma 20 right parenthesis

(30,4)
and (35,8)
left parenthesis 30 comma 4 right parenthesis and left parenthesis 35 comma 8 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)
left parenthesis 2 comma 2.5 right parenthesis and left parenthesis 4 comma 5 right parenthesis

Answer 1

To determine which points would appear on the linear function \( C = 1.25m + 25 \), we can substitute the values of \( m \) (miles driven) given in the options to calculate \( C \) (total cost).

1. For \( (2, 22.5) \): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \quad \text{(not } 22.5\text{)} \]

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

3. For \( (30, 4) \): \[ C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \quad \text{(not } 4\text{)} \]

4. For \( (35, 8) \): \[ C = 1.25(35) + 25 = 43.75 + 25 = 68.75 \quad \text{(not } 8\text{)} \]

5. For \( (4, 30) \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \quad \text{(this one works)} \]

6. For \( (8, 35) \): \[ C = 1.25(8) + 25 = 10 + 25 = 35 \quad \text{(this one works too)} \]

7. For \( (2, 2.5) \): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \quad \text{(not } 2.5\text{)} \]

8. For \( (4, 5) \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \quad \text{(not } 5\text{)} \]

The points that match the function are \( (4, 30) \) and \( (8, 35) \), where the costs calculated are correct according to the original equation.

So, the correct option is:

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