A rental truck company charges $25 to rent a truck, the $1.25 for every mile it is driven. This 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?
A. (30,4) and (35,8)
B. (2,22.5) and (4,20)
C. (2, 2.5) and (4,5)
D. (4, 30) and (8,35)
In the given scenario, we have a linear function described by the equation C = 1.25m + 25, where C is the total cost to rent the truck and m is the miles driven.
We can evaluate the function at different values of m to see which pairs (m, C) fit the equation:
Let's try the pairs from each option:
A. (30, 4) and (35, 8)
For the pair (30, 4), if m = 30, the cost should be C = 1.25(30) + 25 = 37.5 + 25 = 62.5, which is not equal to 4.
For the pair (35, 8), if m = 35, the cost should be C = 1.25(35) + 25 = 43.75 + 25 = 68.75, which is not equal to 8.
So, option A is not correct.
B. (2, 22.5) and (4, 20)
For the pair (2, 22.5), if m = 2, the cost should be C = 1.25(2) + 25 = 2.5 + 25 = 27.5, which is not equal to 22.5.
For the pair (4, 20), if m = 4, the cost should be C = 1.25(4) + 25 = 5 + 25 = 30, which is not equal to 20.
So, option B is not correct.
C. (2, 2.5) and (4,5)
For the pair (2, 2.5), if m = 2, the cost should be C = 1.25(2) + 25 = 2.5 + 25 = 27.5, which is not equal to 2.5.
For the pair (4, 5), if m = 4, the cost should be C = 1.25(4) + 25 = 5 + 25 = 30, which is not equal to 5.
So, option C is not correct.
D. (4, 30) and (8,35)
For the pair (4, 30), if m = 4, the cost should be C = 1.25(4) + 25 = 5 + 25 = 30, which is equal to 30.
For the pair (8, 35), if m = 8, the cost should be C = 1.25(8) + 25 = 10 + 25 = 35, which is equal to 35.
So, option D is correct.
The correct pairs that would appear on the plot of the linear function are D: (4, 30) and (8,35).