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 (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 (2,22.5) and (4,20)

Answer 1

To determine which points satisfy the equation \( C = 1.25m + 25 \), we can substitute the values of \( m \) from each point into the equation to see if we get the corresponding \( C \) value.

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

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

3. For the point (4, 30): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \quad \text{(valid)} \]

4. For the point (8, 35): \[ C = 1.25(8) + 25 = 10 + 25 = 35 \quad \text{(valid)} \]

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

6. For the point (4, 5): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \quad \text{(valid)} \]

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

8. For the point (4, 20): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \quad \text{(valid)} \]

Based on the calculations, the valid points that correspond to the equation \( C = 1.25m + 25 \) are (4, 30) and (8, 35).

Thus, the correct answer is: (4, 30) and (8, 35).