Respuesta :

The answer is because the question is basically asking you to solve for the equation at t = 5. We get:
[tex]v(5) = 45+4(5) = 65[/tex]

Since it models speed of the car, and not the time, the answer is D.

we have

[tex]v(t)=35+4t[/tex]

where

v(t) is the speed of the car in mph

t is the time in seconds

the domain of the function is the interval ------> [tex][35,55][/tex] (given problem)

so

V(5) -----> that means the speed of the car for the time equal to [tex]5[/tex] seconds

Find the speed of the car for [tex]t=5\ sec[/tex]

substitute the value of t in the formula above

[tex]v(5)=35+4*5[/tex]

[tex]v(5)=55 mph[/tex]

therefore

the answer is the option D

[tex]55 mph[/tex]