A graph of the function y=80x+2

In the context of the function \( y = 80x + 2 \) modeling Carli's road trip, where the y-axis represents the speed (in miles per hour) and the graph includes the two hours of stops, the quantity that describes the x-axis is:

time in hours.

The variable \( x \) typically represents time in such a function related to speed and travel.

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)

(2,2.5) and (4,5)

(30,4) and (35,8)

(2,22.5) and (4,20)

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

1. For \( m = 2 \): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \] So, the point is \( (2, 27.5) \).

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

3. For \( m = 30 \): \[ C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \] So, the point is \( (30, 62.5) \).

4. For \( m = 35 \): \[ C = 1.25(35) + 25 = 43.75 + 25 = 68.75 \] So, the point is \( (35, 68.75) \).

Based on these calculations, the only points that match our results are \( (4, 30) \) and \( (2, 27.5) \).

Comparing the available options, we see that the correct pair of points is:

(4, 30) and (2, 27.5)

However, since that specific option is not listed, the only pair available that contains (4, 30) is (4, 30), but it should ideally include (2, 27.5) based on calculations. The correct response thus is (4, 30).