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Jason leaves Detroit at 2:00 PM and drives at a constant speed west along I-96. He passes Ann Arbor, 40 mi from Detroit, at 2:50 PM. (a) Express the distance traveled in terms of the time elapsed. g

Answer :

Answer:

d = 48t will represent the distance 'd' traveled in 't' hours.

Step-by-step explanation:

Jason leaves Detroit at 2:00 PM and passes through Ann Arbor at 2:50 PM which is 40 mi distant from Detroit.

Speed during this journey was constant.

Jason traveled 40 mi in 50 minutes or [tex]\frac{5}{6}[/tex] hours from Detroit to Ann Arbor.

By the formula,

Speed = [tex]\frac{\text{Distance traveled }}{\text{Time taken to travel this distance}}[/tex]

Speed = [tex]\frac{40}{\frac{5}{6}}[/tex]

           = 48 mi per hour

If he travels 'd' miles in 't' hours then by the formula of speed,

48 = [tex]\frac{d}{t}[/tex]

d = 48t

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