A car traveling 65 mph on the highway gets 25 miles per gallon. Part 1 of 4: (2

Question

A car traveling 65 mph on the highway gets 25 miles per gallon. Part 1 of 4: (2 pts) Write a function that represents the distance d left parenthesis t right parenthesis in miles that the car travels in t hours. Part 2 of 4: (2 pts) Write a function that represents the number of gallons of gasoline n left parenthesis d right parenthesis used for d miles of travel. Part 3 of 4: (2 pts) Evaluate left parenthesis n ring operator d right parenthesis left parenthesis t right parenthesis. Be sure to use proper notation and reduce your answer to an improper fraction. Part 4 of 4: (2 pts) Evaluate left parenthesis n ring operator d right parenthesis left parenthesis 5 right parenthesis using your solution from part 3. Interpret its meaning in the context of the problem.

Explanation / Answer

A car traveling 65 mph on the highway gets 25 miles per gallon.

i) In t hours : d(t) = 65*t

ii) 25 miles in 1 gallon

d miles in (1/25)d gallons

n(d) = d/25

iii) n {d(t)} = d/25 = (65t)/25 = 13t/5

iv) n(d(5)) = 13*5/5 = 13 gallons

13 gallons are required to travel for 5 hrs nd distance covered = 65*5 = 325 miles

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