The domain and range of the linear function described are given as follows:
The domain is all real values from 0 to 8.5 and the range is all real values from 0 to 425.
What is a linear function?
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, the car travels 425 miles at a speed of 50 miles per hour, hence for the amount of miles left for the car to travel after t hours is given by a linear function with m = -50 and b = 425, that is:
d(t) = 425 - 50t.
The domain is the set of all possible values of the input, which considering that the car travels while the distance is greater than 0, is given by:
d(t) > 0 -> 425 - 50t > 0 -> t < 8.5.
The range is the set of all possible values of the input, which is the distance remaining, assuming real values from 0 to 425.
Hence, the correct option is:
The domain is all real values from 0 to 8.5 and the range is all real values from 0 to 425.
More can be learned about linear functions at https://brainly.com/question/24808124
