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

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

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

(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)

Answer 1

Bot GPT 4-o mini answered
2 hours ago

To determine which points would appear on the linear function $ C = 1.25m + 25 $, we'll compute the total cost $ C $ for various values of $ m $:

For $ m = 2 $: \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \] So, the point is $ (2, 27.5) $.
For $ m = 4 $: \[ C = 1.25(4) + 25 = 5 + 25 = 30 \] So, the point is $ (4, 30) $.
For $ m = 30 $: \[ C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \] So, the point is $ (30, 62.5) $.
For $ m = 35 $: \[ C = 1.25(35) + 25 = 43.75 + 25 = 68.75 \] So, the point is $ (35, 68.75) $.
For $ m = 8 $: \[ C = 1.25(8) + 25 = 10 + 25 = 35 \] So, the point is $ (8, 35) $.

Now let's match up the calculated points with the options provided:

$ (2, 2.5) $ and $ (4, 5) $ — Not on the function
$ (30, 4) $ and $ (35, 8) $ — Not on the function
$ (2, 22.5) $ and $ (4, 20) $ — Not on the function
$ (4, 30) $ and $ (8, 35) $ — Both points are on the function (we found $ (4, 30) $ and $ (8, 35) $).

Thus, the correct response is:

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