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
(2,22.5) and (4,20)
left parenthesis 2,22.5 right parenthesis and left parenthesis 4 comma 20 right parenthesis
(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
(4,30) and (8,35)
left parenthesis 4 comma 30 right parenthesis and left parenthesis 8 comma 35 right parenthesis
In the given situation, the linear function is expressed as C=1.25m+25. To plot points on this function, we can choose any values for m and calculate the corresponding values of C. let's consider the options.
(2,22.5) and (4,20):
For m = 2, C = 1.25(2) + 25 = 22.5, which matches the given point (2,22.5).
For m = 4, C = 1.25(4) + 25 = 30, which does not match the given point (4,20).
Therefore, this option is incorrect.
(2,2.5) and (4,5):
For m = 2, C = 1.25(2) + 25 = 27.5, which does not match the given point (2,2.5).
For m = 4, C = 1.25(4) + 25 = 30, which does not match the given point (4,5).
Therefore, this option is incorrect.
(30,4) and (35,8):
For m = 30, C = 1.25(30) + 25 = 62.5, which does not match the given point (30,4).
For m = 35, C = 1.25(35) + 25 = 64.375, which does not match the given point (35,8).
Therefore, this option is incorrect.
(4,30) and (8,35):
For m = 4, C = 1.25(4) + 25 = 30, which matches the given point (4,30).
For m = 8, C = 1.25(8) + 25 = 35, which matches the given point (8,35).
Therefore, this is the correct option.
So, it can be concluded that the points (4,30) and (8,35) would appear on the linear function.