Answer: D. 453 miles .
Step-by-step explanation:
Given: The function [tex]d(t)=458-60t[/tex] models the distance, in miles, that Jessica is from her house t hours after she began returning home.
At t = 5 minutes = [tex]\dfrac{5}{60}[/tex] hour [1 hour = 60 minutes],
Distance covered by Jessica in 5 minutes = [tex]d(\dfrac{5}{60})=458-60(\dfrac{5}{60})[/tex]
[tex]=458-5=453\ miles[/tex]
Jessica is 453 miles from her home after 5 minutes she began returning home.
Hence, the correct option is D. 453 miles .
